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Published: 9 March 2023
Last updated: 10 March 2023

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1

Cai, Min, and Changpin Li. "On Riesz derivative." Fractional Calculus and Applied Analysis 22, no. 2 (April 24, 2019): 287–301. http://dx.doi.org/10.1515/fca-2019-0019.

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Abstract This paper focuses on studying Riesz derivative. An interesting investigation on properties of Riesz derivative in one dimension indicates that it is distinct from other fractional derivatives such as Riemann-Liouville derivative and Caputo derivative. In the existing literatures, Riesz derivative is commonly considered as a proxy for fractional Laplacian on ℝ. We show the equivalence between Riesz derivative and fractional Laplacian on ℝn with n ≥ 1 in details.
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2

Shiri, Babak. "A unified generalization for Hukuhara types differences and derivatives: Solid analysis and comparisons." AIMS Mathematics 8, no. 1 (2022): 2168–90. http://dx.doi.org/10.3934/math.2023112.

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<abstract><p>Uncertain numbers, in a parallel definition of fuzzy numbers, are introduced. Model uncertainty and measurement uncertainty are our motivations for this study. A class of scalar multiplication and differences is proposed. Related algebra is investigated. A necessary and sufficient condition of the existence of the introduced differences is obtained. Then, the existing result for the derivative is studied. Many interestingly important results are obtained. For example, the Hukuhara derivative does not exist for any fuzzy function with the new viewpoint. Constructive conditions for the existence of the generalized Hukuhara derivative are introduced. Four possible categories for derivatives fall into two forms of the fuzzy derivative for the generalized Hukuhara derivative. Importantly, this bifurcation in the definition of the new generalized Hukuhara derivative does not happen. Finally, all definitions related to differences and derivatives of uncertain numbers are unified in one concrete form with concrete analysis. Some examples and counterexamples are provided to illustrate theories and theorems in detail.</p></abstract>
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3

Almeida, Ricardo. "Variational problems of variable fractional order involving arbitrary kernels." AIMS Mathematics 7, no. 10 (2022): 18690–707. http://dx.doi.org/10.3934/math.20221028.

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<abstract><p>The aim of this work is to study several problems of the calculus of variations, where the dynamics of the state function is given by a generalized fractional derivative. This derivative combines two well-known concepts: fractional derivative with respect to another function and fractional derivative of variable order. We present the Euler–Lagrange equation, which is a necessary condition that every optimal solution of the problem must satisfy. Other problems are also studied: with integral and holonomic constraints, with higher order derivatives, and the Herglotz variational problem.</p></abstract>
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4

Dawidziak-Kładoczna, Małgorzata. "The word formation potential of politicians’ surnames on the example of the category of names of abstract features." Oblicza Komunikacji 12 (June 24, 2021): 139–51. http://dx.doi.org/10.19195/2083-5345.12.9.

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Research has shown that in contemporary political communication there are often derivatives belonging to the category of abstract feature names derived from the names of politicians. In total, I amassed 166 such units. I analyze their word-formation structure and the meaning that results not only from morphology, but is also contextually conditioned. The most productive is the suffix -izm/-yzm (gierkizm, schetynizm, balcerowizm) and the suffix -izna/-yzna (komorowszczyzna, michnikowszczyzna). Formations formed with the help of other suffixes are definitely less numerous, e.g. -ość (kaczyńskość), -ada (kukiziada) or complex formants: -aizm (dudaizm), -stwo (kaczorstwo), -ostwo (pawłowiczostwo), - arstwo (palikociarstwo) and -olioza (palikotolioza). Other derivative mechanisms are used to create odantroponimic names of ideology and a set of views, e.g. paradigmatic derivation with the disintegration of the topic (olszewia) or complex derivation (korwinomania, wałęsocentryzm). The derivatives in question are most often used by people who do not accept the phenomena signed by these words. The high frequency of names is undoubtedly influenced by new forms of communication, especially the Internet, and the mediatization of politics.
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5

BRYCE, M. R., M. A. COFFIN, M. B. HURSTHOUSE, and M. MAZID. "ChemInform Abstract: A Tetrathiotrimethylenemethane Derivative." ChemInform 22, no. 36 (August 22, 2010): no. http://dx.doi.org/10.1002/chin.199136181.

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6

Norfield, Tony. "Derivatives, Money, Finance and Imperialism: A Response to Bryan and Rafferty." Historical Materialism 21, no. 2 (2013): 149–68. http://dx.doi.org/10.1163/1569206x-12341296.

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Abstract This paper contributes to the debate on the role of financial derivatives for capitalism. It responds to Bryan and Rafferty’s defence of their analysis and their critique of my own. The paper argues that their analysis confuses what a financial derivative does, and mixes together different kinds of derivative – and non-derivative – that play very different roles. After detailing these points, the paper discusses the relationship between gold, money and derivatives, rejecting their notion that derivatives are some kind of new ‘commodity money’. An important theme absent from Bryan and Rafferty’s analysis is the relationship of financial trading and derivatives markets to parasitism in the imperialist world economy. To illustrate this, the paper notes advantages enjoyed by the major financial powers – the US and the UK – that are the main centres for the origination of derivatives and for derivatives trading.
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7

Atangana, Abdon, and Ali Akgül. "Analysis of a derivative with two variable orders." AIMS Mathematics 7, no. 5 (2022): 7274–93. http://dx.doi.org/10.3934/math.2022406.

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<abstract><p>In this paper, we investigate a derivative with the two variable orders. The first one shows the variable order fractal dimension and the second one presents the fractional order. We consider these derivatives with the power law kernel, exponential decay kernel and Mittag-Leffler kernel. We give the theory of this derivative in details. We also present the numerical approximation. The results we obtained in this work are very useful for researchers to improve many things for fractal fractional derivative with two variable orders.</p></abstract>
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8

Fedorov, Vladimir E., Marina V. Plekhanova, and Elizaveta M. Izhberdeeva. "Initial Value Problems of Linear Equations with the Dzhrbashyan–Nersesyan Derivative in Banach Spaces." Symmetry 13, no. 6 (June 11, 2021): 1058. http://dx.doi.org/10.3390/sym13061058.

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Among the many different definitions of the fractional derivative, the Riemann–Liouville and Gerasimov–Caputo derivatives are most commonly used. In this paper, we consider the equations with the Dzhrbashyan–Nersesyan fractional derivative, which generalizes the Riemann–Liouville and the Gerasimov–Caputo derivatives; it is transformed into such derivatives for two sets of parameters that are, in a certain sense, symmetric. The issues of the unique solvability of initial value problems for some classes of linear inhomogeneous equations of general form with the fractional Dzhrbashyan–Nersesyan derivative in Banach spaces are investigated. An inhomogeneous equation containing a bounded operator at the fractional derivative is considered, and the solution is presented using the Mittag–Leffler functions. The result obtained made it possible to study the initial value problems for a linear inhomogeneous equation with a degenerate operator at the fractional Dzhrbashyan–Nersesyan derivative in the case of relative p-boundedness of the operator pair from the equation. Abstract results were used to study a class of initial boundary value problems for equations with the time-fractional Dzhrbashyan–Nersesyan derivative and with polynomials in a self-adjoint elliptic differential operator with respect to spatial variables.
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9

Oliveira, Daniela S., and Edmundo Capelas de Oliveira. "On a Caputo-type fractional derivative." Advances in Pure and Applied Mathematics 10, no. 2 (April 1, 2019): 81–91. http://dx.doi.org/10.1515/apam-2017-0068.

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Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives of arbitrary order. Our differential operator recovers as limiting cases the arbitrary order derivatives proposed by Caputo and by Caputo–Hadamard. Some properties are presented as well as the relation between this differential operator of arbitrary order and the Katugampola generalized fractional operator. As an application we prove the fundamental theorem of fractional calculus associated with our operator.
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10

Ahmed, Anwer S., Emre Kilic, and Gerald J. Lobo. "Effects of SFAS 133 on the Risk Relevance of Accounting Measures of Banks’ Derivative Exposures." Accounting Review 86, no. 3 (May 1, 2011): 769–804. http://dx.doi.org/10.2308/accr.00000033.

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ABSTRACT: We provide evidence on the effects of SFAS 133 on the risk relevance of accounting measures of bank derivative exposures to bond markets. First, we find that interest rate derivatives classified as hedging are more negatively associated with fixed-rate bond spreads after SFAS 133. We also find that hedging derivatives offset non-trading positions to a greater extent after SFAS 133. Second, for the largest 25 banks, we find that interest and foreign exchange rate trading derivatives are more negatively associated with fixed-rate bond spreads after SFAS 133, consistent with more economic hedges being classified as trading after SFAS 133. For these banks, trading derivative exposures offset non-derivative trading exposures to a greater extent after SFAS 133. Our results suggest that, contrary to critics’ claims, SFAS 133 has increased the risk relevance of accounting measures of derivative exposures to bond investors and benefited banks in terms of reducing their cost of capital.
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11

Cui, Zhoujin. "Solutions of some typical nonlinear differential equations with Caputo-Fabrizio fractional derivative." AIMS Mathematics 7, no. 8 (2022): 14139–53. http://dx.doi.org/10.3934/math.2022779.

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<abstract><p>In this paper, the solutions of some typical nonlinear fractional differential equations are discussed, and the implicit analytical solutions are obtained. The fractional derivative concerned here is the Caputo-Fabrizio form, which has a nonsingular kernel. The calculation results of different fractional orders are compared through images. In addition, by comparing the results obtained in this paper with those under Caputo fractional derivative, it is found that the solutions change relatively gently under Caputo-Fabrizio fractional derivative. It can be concluded that the selection of appropriate fractional derivatives and appropriate fractional order is very important in the modeling process.</p></abstract>
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12

Samad, Abdul, Imran Siddique, and Fahd Jarad. "Meshfree numerical integration for some challenging multi-term fractional order PDEs." AIMS Mathematics 7, no. 8 (2022): 14249–69. http://dx.doi.org/10.3934/math.2022785.

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<abstract><p>Fractional partial differential equations (PDEs) have key role in many physical, chemical, biological and economic problems. Different numerical techniques have been adopted to deal the multi-term FPDEs. In this article, the meshfree numerical scheme, Radial basis function (RBF) is discussed for some time-space fractional PDEs. The meshfree RBF method base on the Gaussian function and is used to test the numerical results of the time-space fractional PDE problems. Riesz fractional derivative and Grünwald-Letnikov fractional derivative techniques are used to deal the space fractional derivative terms while the time-fractional derivatives are iterated by Caputo derivative method. The accuracy of the suggested scheme is analyzed by using $ L_\infty $-norm. Stability and convergence analysis are also discussed.</p></abstract>
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13

Luo, D., J. R. Wang, and M. Fečkan. "Applying Fractional Calculus to Analyze Economic Growth Modelling." Journal of Applied Mathematics, Statistics and Informatics 14, no. 1 (May 1, 2018): 25–36. http://dx.doi.org/10.2478/jamsi-2018-0003.

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Abstract In this work, we apply fractional calculus to analyze a class of economic growth modelling (EGM) of the Spanish economy. More precisely, the Grünwald-Letnnikov and Caputo derivatives are used to simulate GDP by replacing the previous integer order derivatives with the help of Matlab, SPSS and R software. As a result, we find that the data raised from the Caputo derivative are better than the data raised from the Grünwald-Letnnikov derivative. We improve the previous result in [12].
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14

Turov, M. M., V. E. Fedorov, and B. T. Kien. "Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives." Bulletin of Irkutsk State University. Series Mathematics 38 (2021): 36–53. http://dx.doi.org/10.26516/1997-7670.2021.38.36.

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The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for the equation resolved with respect to the highest fractional derivative, and in the case of a degenerate operator at the highest derivative in the equation. Two essentially different cases are investigated in the degenerate problem: when the fractional part of the order of the second-oldest derivative is equal to or different from the fractional part of the order of the highest fractional derivative. Abstract results are applied in the study of inverse problems for partial differential equations with polynomials from a self-adjoint elliptic differential operator with respect to spatial variables and with Riemann – Liouville derivatives in time.
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15

Topuria, S. "Generalized Derivatives of an Arbitrary Order and the Boundary Properties of Differentiated Poisson Integrals for the Half-Space." Georgian Mathematical Journal 7, no. 2 (June 2000): 387–400. http://dx.doi.org/10.1515/gmj.2000.387.

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Abstract The notions of a generalized differential and a generalized spherical derivative of an arbitrary order are introduced for a function of several variables and Fatou type theorems are proved on the boundary properties of partial derivatives of an arbitrary order of the Poisson integral for the half-space, when the integral density has a generalized differential or a generalized spherical derivative.
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16

Novak, Oksana, Tetiana Osadcha, and Oleksandr Petruk. "CONCEPT AND CLASSIFICATION OF DERIVATIVE FINANCIAL INSTRUMENTS AS A METHODOLOGICAL PRECISION ON THEIR REGULATION IN THE FINANCIAL SERVICES MARKET." Baltic Journal of Economic Studies 5, no. 3 (August 1, 2019): 135. http://dx.doi.org/10.30525/2256-0742/2019-5-3-135-144.

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The urgency of the research topic is caused by the rapid growth of capital markets and the emergence of all new financial instruments, the complexity of their structure and the transition beyond the regulatory influence of supervisory authorities. Discussion issues on the identification of derivatives, as well as their certain types, create significant problems with their valuation, the correctness of accounting, and the application of regulatory measures. Inconsistency in the interpretation of derivative financial instruments nature and their certain types is also present in domestic legal acts. Therefore, until the elimination of these shortcomings, derivative financial instruments create additional risks for their owners – financial institutions, as well as for creditors and depositors. The purpose of the research, conducted in the article, lies in the clarification of derivatives nature and developing an appropriate classification of their types in order to its further use with a view of regulation. The methodological basis of the research. The methodological basis of the study is a dialectical approach to the understanding of the essence of derivative financial instruments; general scientific methods of knowledge of phenomena and processes (monographic, abstract-logical, synthesis, comparison, generalization), analysis of legal acts in the part of treatment of derivatives, derivative financial instruments and derivative securities, methods of grouping systematization and generalization in developing the classification of derivative financial instruments. Scientific results. It has been established that in order to maintain the stability of financial markets and their participants, the transformation of regulatory measures should be a permanent development and modification of the financial instruments that are being rotated. Various approaches to the interpretation of derivative financial instruments essence in normative legal acts and scientific literature have been analysed in order to improve the regulation of their issuance and circulation. This made it possible to streamline the conceptual apparatus and to group certain types of derivatives according to certain classification grounds. The basis for classification is the concept of “derivative financial instruments” as the broadest, which includes derivative securities and term contracts (derivatives). The concept of derivatives and derivative securities are delimited based on the study of terminology. It was established that derivatives are standard documents that certify the right and/or obligation to purchase or sell future securities, tangible or intangible assets, as well as funds or make payments on terms and conditions specified by them. However, in some cases, derivatives may acquire features of derivative securities, in particular, when issued through emission and freely traded in markets and bring income (losses) to their owner as a result of changes in their market value. The practical significance. The practical value of the research is the possibility of using the developed classification for the needs of emission regulation and the circulation of derivative financial instruments.
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17

NOLTEMEYER, M., L. F. TIETZE, J. WOELFLING, and G. SCHNEIDER. "ChemInform Abstract: A D-Homotestosterone Derivative." ChemInform 25, no. 38 (August 19, 2010): no. http://dx.doi.org/10.1002/chin.199438241.

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18

BES, M. T., J. WOELFLING, I. USON, S. PELIKAN, L. F. TIETZE, E. FRANK, and G. SCHNEIDER. "ChemInform Abstract: A Hexacyclic Estrone Derivative." ChemInform 30, no. 6 (June 17, 2010): no. http://dx.doi.org/10.1002/chin.199906166.

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19

Antonyuk-Kyrychenko, Solomiya. "THE WORD-FORMING POTENTIAL OF THE TOUCH-RELATED ADJECTIVES IN THE POETICAL WORKS OF OVID." Studia Linguistica, no. 19 (2021): 11–23. http://dx.doi.org/10.17721/studling2021.19.11-23.

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The article deals with the analysis of the derivative potential of the adjectives denoting the touch in poetical works of the Roman poet Ovid. It was revealed that the most common in the analyzed poetic works are adjectives with a non-motivated basis. The deadjectival derivatives are characterized by a four-zone paradigm with such semantic positions as: in the adverbial zone – adverbialization of the characteristic; in verbal – endowment with a characteristic and acquisition of a characteristic; in the substantive zone – abstract characteristic and rarely the carrier of the characteristic; and in the adjectival – the disclosure and denial of the characteristic. It is noticed that the groups of deadjectives in the adverbial and adjectival zones are marked by the largest number of derivatives, which are characterized by three word-forming types of derivation. The most common are the derivatives of the adverbial zone molliter and leviter, as well as the derivatives of the adjectival group udus, acerbus and firmus. It is identified that the deadjectival derivatives of the adverbial zone in Ovid’s texts mainly gravitate to the verb and take a pre-verbal position. The smallest group is formed by the deadjectives of the substantive zone. The adjectives of the verbal zone mollio and duro possess the highest frequency of use. In the analyzed context, most of the studied adjectives acquire a derivative or figurative meaning.
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20

Smetona, Antanas. "Regarding the Verb “ĮTAKOTI”." Lietuvių kalba, no. 16 (December 30, 2021): 98–110. http://dx.doi.org/10.15388/lk.2021.5.

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The first attempts to correct the verb įtakoti and, naturally, its derivatives were observed in the 1970s. The main assumption for correcting (not to mention a certain “tradition” of correcting) is as follows: įtaka – an inflectional derivative from įtekėti, therefore suffixal derivatives with -oti are not possible from the systemic perspective. Thus, this is the influence of the Russian language. However, such an assumption is erroneous and originates from misinterpretation of derivation and history of correcting. The article aims to show that, on the one hand, įtaka → įtakoti can be seen as a regular model of derivation and, on the other hand, if the noun įtaka is considered to be a loan translation, there is no reason for thinking that it functions in the language differently from all the other a-stem nouns, which serve as basis for derivatives with the suffix -oti. Abundancy of systemic examples of derivative verbs with the suffix -oti shows that the neologism įtakoti are in the same group with pasakoti and sąlygoti. They are prefixal verbs, i.e., derivatives with the suffix -oti from prefixal deverbative nouns: įtekėti → įtaka → įtakoti; nuimti → nuoma → nuomoti; pasekti → pasaka → pasakoti; pravežti → pravėža → pravėžoti; sulygti → sąlyga → sąlygoti. Therefore, correction of the verb įtakoti is not justified from the perspective of systemic word derivation. If įtaka is generally regarded as a part of derivational system of the Lithuanian language (and this is true, because it is a submorphemic loan translation, europeism, book neologism, although structurally successfully matching with examples of productive derivation models and likely to be influenced by analogous processes), its functioning in the Lithuanian language does not differ from other a-stem nouns – the derivational model of suffix -oti from the a-stem is abundant. The derivatives with this suffix are frequently derived from base nouns as well as from deverbatives, sometimes even from prefixal or concrete or even abstract nouns; the meaning of derivation does not fall out of the context here. Names of persons with the suffix -tojas are formed in big numbers and a systemic way from derivatives with the suffix -oti and with the root of verb – pasakotojas, sąlygotojas, nuomotojas, pravėžotojas, įtakotojas. The suffix -oti is successfully used to derive verbs from prefixal deverbatives, although some limitations can also be observed – the derivative with suffix -oti is not made from įlanka. This leads only to one conclusion – a theoretical approach to a model of derivation has to be all-encompassing and considering various possibilities. Moreover, exaggerated support/denial of a certain model leads to erroneous generalizations. In general, in such complex systems (a) there is always a considerable diversity of non-systemic usage – due to different frequency of usage as well as because of historical and cognitive reasons, (b) there are always blank spaces that appear due to formally different but semantically identical or very close derivation models, which usually have to be evaluated not only from the systemic point of view but also considering a common sense of language and live speech of people (aras/erelis, siuvėjas/siūtojas, rašytojas/rašėjas, pasakoti/padangoti…). Due to all the aforesaid circumstances, the verb įtakoti is a systemic derivative/loan translation, which occupies a reasonable place in one or another derivation sub-system in the Lithuanian language as well as a fact of live speech, which does not contradict the systemic structure of language.
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21

Breierová, Emília, Ján Šajbidor, and Martin Lamačka. "The Influence of Newly Synthesised Fenpropimorph Derivatives on Some Pathogen Yeasts." Zeitschrift für Naturforschung C 56, no. 1-2 (February 1, 2001): 53–57. http://dx.doi.org/10.1515/znc-2001-1-210.

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Abstract The effect of minimum inhibitory concentrations (MICs) of six novel fenpropimorph deri­vatives on lipid and sterol composition of Candida albicans, Cryptococcus neoformans, Malassezia pachydermatis and Malassezia furfur was investigated. The MICs for the most effective derivatives were found in the range from 3.7 to 56.7 μм and were 2 -3 times lower compared to the commercial fungicide bifonazol. The more efficient fenpropimorph derivatives were the piperidine derivative for C. albicans and the allylamine derivative for Cr. neoformans, M. pachydermatis and M. furfur . The inhibitor in the growth medium reduced the unsaturation index of the total lipid content in M. furfur and C.
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22

Dzagnidze, O. "A Radial Derivative with Boundary Values of the Spherical Poisson Integral." gmj 6, no. 1 (February 1999): 19–32. http://dx.doi.org/10.1515/gmj.1999.19.

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Abstract A formula of a radial derivative is obtained with the aid of derivatives with respect to θ and to φ of the functions closely connected with the spherical Poisson integral 𝑢f (r, θ, φ) and the boundary values are determined for . The boundary values are also found for partial derivatives with respect to the Cartesian coordinates , and .
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23

Baloch, Imran Abbas, Thabet Abdeljawad, Sidra Bibi, Aiman Mukheimer, Ghulam Farid, and Absar Ul Haq. "Some new Caputo fractional derivative inequalities for exponentially $ (\theta, h-m) $–convex functions." AIMS Mathematics 7, no. 2 (2022): 3006–26. http://dx.doi.org/10.3934/math.2022166.

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<abstract><p>Firstly, we obtain some inequalities of Hadamard type for exponentially $ (\theta, h-m) $–convex functions via Caputo $ k $–fractional derivatives. Secondly, using integral identity including the $ (n+1) $–order derivative of a given function via Caputo $ k $-fractional derivatives we prove some of its related results. Some new results are given and known results are recaptured as special cases from our results.</p></abstract>
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24

Sitnik, Sergey M., Vladimir E. Fedorov, Nikolay V. Filin, and Viktor A. Polunin. "On the Solvability of Equations with a Distributed Fractional Derivative Given by the Stieltjes Integral." Mathematics 10, no. 16 (August 18, 2022): 2979. http://dx.doi.org/10.3390/math10162979.

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Linear equations in Banach spaces with a distributed fractional derivative given by the Stieltjes integral and with a closed operator A in the right-hand side are considered. Unlike the previously studied classes of equations with distributed derivatives, such kinds of equations may contain a continuous and a discrete part of the integral, i.e., a standard integral of the fractional derivative with respect to its order and a linear combination of fractional derivatives with different orders. Resolving families of operators for such equations are introduced into consideration, and their properties are studied. In terms of the resolvent of the operator A, necessary and sufficient conditions are obtained for the existence of analytic resolving families of the equation under consideration. A perturbation theorem for such a class of operators is proved, and the Cauchy problem for the inhomogeneous equation with a distributed fractional derivative is studied. Abstract results are applied for the research of the unique solvability of initial boundary value problems for partial differential equations with a distributed derivative with respect to time.
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25

Buchta, Vladimír, Milan Pour, Petra Kubanová, Luis Silva, Ivan Votruba, Marie Vopršálová, Radan Schiller, Helena Fáková, and Marcel Špulák. "In Vitro Activities of 3-(Halogenated Phenyl)-5-Acyloxymethyl- 2,5-Dihydrofuran-2-ones against Common and Emerging Yeasts and Molds." Antimicrobial Agents and Chemotherapy 48, no. 3 (March 2004): 873–78. http://dx.doi.org/10.1128/aac.48.3.873-878.2004.

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ABSTRACT Three 3-(halogenated phenyl)-5-acyloxymethyl-2,5-dihydrofuran-2-ones were evaluated for activity against 191 strains of common and emerging yeasts and Aspergillus species by the broth microdilution test performed according to NCCLS guidelines. The furanone derivatives displayed broad-spectrum in vitro activity against potentially pathogenic yeasts and molds, especially Aspergillus spp. (MIC ≤ 2.0 μg/ml) and fluconazole-resistant yeast isolates, including Candida glabrata and Saccharomyces cerevisiae. The 4-bromophenyl derivative was the most effective derivative against the majority of species tested, except for the Candida tropicalis and C. glabrata strains, which were more susceptible to the 3-chlorophenyl derivative. The 3,4-dichlorophenyl derivative possessed a lesser in vitro antifungal effect. The potential of further experiments on animal infection and clinical studies is supported by the relatively low cytotoxicity and acute toxicity of the 4-bromophenyl compound. Thus, the halogenated 3-phenyl-5-acyloxymethyl derivatives of 2,5-dihydrofuran-2-one represent a novel, promising group of compounds with significant activity against relevant opportunistic fungi that are pathogenic to humans.
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26

Reising, Kyle P. "Ivermectin Quantitation with an Abamectin Internal Standard." Journal of AOAC INTERNATIONAL 81, no. 2 (March 1, 1998): 477–83. http://dx.doi.org/10.1093/jaoac/81.2.477.

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abstract The potent antiparasitic ivermectin is detected at low concentrations (ng/g) in liver and muscle tissue by liquid chromatography after conversion to a fluorescent derivative with 1-methylimidazole and trifluoroacetic anhydride. This acetylation reaction can be compromised by residual water that eads to decreased yields. Yields of derivatives of ivermectin and abamectin, a related avermectin, are identical under all circumstances tested. Use of abamectin as an internal standard eliminates derivative yield as a source of analytical variation.
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27

Kamiya, Naohiro, Atsushi Kubota, Yumiko Iwase, Kouichi Sekiya, Masaru Ubasawa, and Satoshi Yuasa. "Antiviral Activities of MCC-478, a Novel and Specific Inhibitor of Hepatitis B Virus." Antimicrobial Agents and Chemotherapy 46, no. 9 (September 2002): 2872–77. http://dx.doi.org/10.1128/aac.46.9.2872-2877.2002.

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ABSTRACT MCC-478 is a newly synthesized 2-amino-6-arylthio-9-phosphonomethoxyethylpurine bis(2,2,2-trifluoroethyl) ester derivative. MCC-478 showed a substantially higher (ca. 80-fold) anti-hepatitis B virus (HBV) activity than that of lamivudine, despite no significant anti-human immunodeficiency virus activity. Since the bis(2,2,2-trifluoroethyl) ester group was used to improve the oral bioavailability of the phosphonomethoxyethylpurine derivatives, two monoester derivatives and one phosphonic acid derivative were also evaluated. It was suggested that these hydrolyzed derivatives, which appeared in animals given MCC-478, have enough anti-HBV activity to contribute to efficacy in vivo. Furthermore, no apparent cytotoxic effects or reductions of mitochondrial DNA content by MCC-478 and its derivatives were observed. These results indicated that MCC-478 may be a new promising anti-HBV agent.
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28

Shi, Sheng-zhe, Teng-jiao Sang, Xiao-feng Liu, and Gang Sun. "Hydrodynamic Derivative Calculation and Turning Performance Simulation of Amphibious Aircraft." Journal of Physics: Conference Series 2381, no. 1 (December 1, 2022): 012013. http://dx.doi.org/10.1088/1742-6596/2381/1/012013.

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Abstract To improve the rotation efficiency of amphibious aircraft on the water surface, CFD technology is used to simulate maneuverable motion in this paper. The numerical calculations of direct navigation, oblique towing, no drift angle in rotating arm motion, drift angle in rotating arm motion, direct navigation with rudder, and planar motion are carried out, respectively. The hydrodynamic derivatives such as position derivative, rotation derivative, coupling derivative, rudder derivative, and added mass are obtained. On this basis, the rotational performance of amphibious aircraft is predicted. The results show that when the rudder is fully deflected, the rotation radius is 3159.1 m; when the engine differential and rudder run together, the rotation radius is 1216.8 m; the engine differential can effectively improve the rotation efficiency of amphibious aircraft on the water surface.
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29

Mehandiratta, Vaibhav, Mani Mehra, and Günter Leugering. "Distributed optimal control problems driven by space-time fractional parabolic equations." Control and Cybernetics 51, no. 2 (June 1, 2022): 191–226. http://dx.doi.org/10.2478/candc-2022-0014.

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Abstract We study distributed optimal control problems, governed by space-time fractional parabolic equations (STFPEs) involving time-fractional Caputo derivatives and spatial fractional derivatives of Sturm-Liouville type. We first prove existence and uniqueness of solutions of STFPEs on an open bounded interval and study their regularity. Then we show existence and uniqueness of solutions to a quadratic distributed optimal control problem. We derive an adjoint problem using the right-Caputo derivative in time and provide optimality conditions for the control problem. Moreover, we propose a finite difference scheme to find the approximate solution of the considered optimal control problem. In the proposed scheme, the well-known L1 method has been used to approximate the time-fractional Caputo derivative, while the spatial derivative is approximated using the Grünwald-Letnikov formula. Finally, we demonstrate the accuracy and the performance of the proposed difference scheme via examples.
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30

Arima, Jiro, Yoshiko Uesugi, Masaki Iwabuchi, and Tadashi Hatanaka. "Change in Substrate Preference of Streptomyces Aminopeptidase through Modification of the Environment around the Substrate Binding Site." Applied and Environmental Microbiology 72, no. 12 (October 6, 2006): 7962–67. http://dx.doi.org/10.1128/aem.01460-06.

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ABSTRACT We attempted to alter the substrate preference of aminopeptidase from Streptomyces septatus TH-2 (SSAP). Because Asp198 and Phe221 of SSAP are located in the substrate binding site, we screened 2,000 mutant enzymes with D198X/F221X mutations. By carrying out this examination, we obtained two enzymes; one specifically hydrolyzed an arginyl derivative, and the other specifically hydrolyzed a cystinyl derivative (65- and 12.5-fold higher k cat values for hydrolysis of p-nitroanilide derivatives than those of the wild type, respectively).
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31

Tatar, Nasser-eddine. "ON A SECOND-ORDER DIFFERENTIAL PROBLEM WITH FRACTIONAL DERIVATIVES OF ORDER GREATER THAN ONE." Mathematical Modelling and Analysis 18, no. 1 (February 1, 2013): 53–65. http://dx.doi.org/10.3846/13926292.2013.756833.

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A second-order abstract problem with derivatives of non-integer order is investigated. The nonlinearity involves fractional derivatives between 1 and 2. Existence and uniqueness of mild and classical solutions are established in appropriate spaces. This work extends similar works with or without a derivative of first order and also a work of the present author, where the order of the derivatives were between 0 and 1.
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32

Mooser, Andrê E., and Herbert Koch. "Confirmatory Method for Sulfonamide Residues in Animal Tissues by Gas Chromatography and Pulsed Positive Ion-Negative Ion-Chemical Ionization Mass Spectrometry." Journal of AOAC INTERNATIONAL 76, no. 5 (September 1, 1993): 976–82. http://dx.doi.org/10.1093/jaoac/76.5.976.

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Abstract A confirmatory method has been developed for determination of 13 sulfonamides in edible tissues. The assay involves extraction from a solution resulting from a screening procedure by liquid chromatography and subsequent derivatization. Sulfachloropyridazine (SCP), sulfadiazine (SDA), sulfadimethoxine (SDM), sulfamethazine (SMZ), sulfamerazine (SME), sulfamethoxazole (SMX), sulfamethoxypyridazine (SMP), sulfapyridine (SPR), sulfaquinoxaline (SQX), and sulfathiazole (STA) were detected as the N1-methyl-N4-trifluoroacetyl derivatives, sulfaguanidine (SGU) as the same derivative after cyclization by hexafluoroacetylacetone, and sulfacetamide (SAC) as the methyl derivative. These sulfonamides were detected by gas chromatography and pulsed positive ion-negative ion-chemical ionization mass spectrometry with methane as the reactant gas, whereas sulfanilamide (SAA) was determined as the methyl derivative by electron-impact ionization.
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33

Obermueller, Roland A., Christoph Etzlstorfer, and Heinz Falk. "ChemInform Abstract: Chemistry of a Dibenzohypericin Derivative." ChemInform 33, no. 19 (May 21, 2010): no. http://dx.doi.org/10.1002/chin.200219106.

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34

LLOYD, B. A., A. M. ARIF, E. L. ALLRED, A. PATTON, and T. R. SHARP. "ChemInform Abstract: A Twisted Pentacyclic Ketone Derivative." ChemInform 24, no. 24 (August 20, 2010): no. http://dx.doi.org/10.1002/chin.199324041.

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35

AKELLA, A., and D. A. KESZLER. "ChemInform Abstract: Buetschliite Derivative K2Zr(BO3)2." ChemInform 25, no. 30 (August 19, 2010): no. http://dx.doi.org/10.1002/chin.199430009.

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36

WATSON, W. H., R. P. KASHYAP, and B. F. PLUMMER. "ChemInform Abstract: Pyramidalization in a Hexachloronorbornadiene Derivative." ChemInform 22, no. 26 (August 23, 2010): no. http://dx.doi.org/10.1002/chin.199126048.

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37

BELTRAME, P., G. GELLI, E. CADONI, M. M. CARNASCIALI, M. PANI, and A. MUGNOLI. "ChemInform Abstract: Structure of a Triazaoxabicyclodecatriene Derivative." ChemInform 24, no. 45 (August 20, 2010): no. http://dx.doi.org/10.1002/chin.199345058.

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38

LLOYD, B. A., A. M. ARIF, E. L. ALLRED, and T. R. SHARP. "ChemInform Abstract: A Twisted Pentacyclic Diol Derivative." ChemInform 24, no. 51 (August 19, 2010): no. http://dx.doi.org/10.1002/chin.199351045.

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39

SEHGAL, V., P. SINGH, A. DANDIA, and R. BOHRA. "ChemInform Abstract: A Spiro-Indole Derivative, C16H10ClFN2O2S." ChemInform 25, no. 50 (August 18, 2010): no. http://dx.doi.org/10.1002/chin.199450045.

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40

KIDO, J., M. KIMURA, and K. NAGAI. "ChemInform Abstract: Blue Electroluminescent 1,2,4-Triazole Derivative." ChemInform 27, no. 26 (August 5, 2010): no. http://dx.doi.org/10.1002/chin.199626176.

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41

HINOU, H., A. UMINO, K. MATSUOKA, D. TERUNUMA, S. TAKAHASHI, Y. ESUMI, and H. KUZUHARA. "ChemInform Abstract: Synthesis of Amphiphilic Chitoheptaose Derivative." ChemInform 29, no. 6 (June 24, 2010): no. http://dx.doi.org/10.1002/chin.199806236.

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42

NOLTEMEYER, M., L. F. TIETZE, J. WOELFLING, E. FRANK, and G. SCHNEIDER. "ChemInform Abstract: A Fluorinated D-Homoestrone Derivative." ChemInform 28, no. 5 (August 4, 2010): no. http://dx.doi.org/10.1002/chin.199705219.

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43

Pskhu, Arsen. "Nakhushev extremum principle for a class of integro-differential operators." Fractional Calculus and Applied Analysis 23, no. 6 (December 1, 2020): 1712–22. http://dx.doi.org/10.1515/fca-2020-0085.

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Abstract We investigate extreme properties of a class of integro-differential operators. We prove an assertion that extends the Nakhushev extremum principle, known for fractional Riemann-Liouville derivatives, to integro-differential operators with kernels of a general form. We establish the weighted extremum principle for convolution operators and the Riemann-Liouville fractional derivative. In addition, as an application, we prove a uniqueness theorem for a boundary value problem in a non-cylindrical domain for the fractional diffusion equation with the Riemann-Lioville fractional derivative.
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44

Baloochian, Hossein, Hamid Reza Ghaffary, and Saeed Balochian. "Enhancing Fingerprint Image Recognition Algorithm Using Fractional Derivative Filters." Open Computer Science 7, no. 1 (March 28, 2017): 9–16. http://dx.doi.org/10.1515/comp-2017-0002.

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Abstract One of the most important steps in recognizing fingerprint is accurate feature extraction of the input image. To enhance the accuracy of fingerprint recognition, an algorithm using fractional derivatives is proposed in this paper. The proposed algorithm uses the definitions of fractional derivatives Riemann-Liouville (R-L) and Grunwald-Letnikov (G-L) in two sections of direction estimation and image enhancement for the first time. Based on it, new mask of fractional derivative Gabor filter is calculated. The proposed fractional derivative-based method enhances the image quality. This method enhances the structure of ridges and grooves of fingerprint, using fractional derivatives. The efficiency of the proposed method is studied in images of FVC2004 (DB1, DB2, DB3 and DB4) database and the results are evaluated using the criteria including entropy, average gradient, and edge intensity. Also, performance of the proposed method is compared with other technical methods such as Gabor filter. Based on the obtained results from the tests, the method is able to enhance the quality of fingerprint images significantly.
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45

Naqeeb, Muhammad, Amjad Hussain, and Ahmad Mohammed Alghamdi. "Blow-up criteria for different fluid models in anisotropic Lorentz spaces." AIMS Mathematics 8, no. 2 (2022): 4700–4713. http://dx.doi.org/10.3934/math.2023232.

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<abstract><p>This paper establishes new blow-up criteria, in anisotropic Lorentz spaces, via one-directional derivatives of the velocity and magnetic fields for the Cauchy problem to the 3D magneto-micropolar model and via one-directional derivative of velocity for the Cauchy problem to the 3D nonlinear dissipative system.</p></abstract>
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46

Mittal, A. K. "Spectrally accurate approximate solutions and convergence analysis of fractional Burgers’ equation." Arabian Journal of Mathematics 9, no. 3 (June 24, 2020): 633–44. http://dx.doi.org/10.1007/s40065-020-00286-x.

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Abstract In this paper, a new numerical technique implements on the time-space pseudospectral method to approximate the numerical solutions of nonlinear time- and space-fractional coupled Burgers’ equation. This technique is based on orthogonal Chebyshev polynomial function and discretizes using Chebyshev–Gauss–Lobbato (CGL) points. Caputo–Riemann–Liouville fractional derivative formula is used to illustrate the fractional derivatives matrix at CGL points. Using the derivatives matrices, the given problem is reduced to a system of nonlinear algebraic equations. These equations can be solved using Newton–Raphson method. Two model examples of time- and space-fractional coupled Burgers’ equation are tested for a set of fractional space and time derivative order. The figures and tables show the significant features, effectiveness, and good accuracy of the proposed method.
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47

Joshi, Pawan, and Sukanta Panda. "Higher derivative scalar tensor theory in unitary gauge." Journal of Cosmology and Astroparticle Physics 2022, no. 03 (March 1, 2022): 022. http://dx.doi.org/10.1088/1475-7516/2022/03/022.

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Abstract Ostrogradsky instability generally appears in nondegenerate higher-order derivative theories and this issue can be resolved by removing any existing degeneracy present in such theories. We consider an action involving terms that are at most quadratic in second derivatives of the scalar field and non-minimally coupled with the curvature tensors. We perform a 3+1 decomposition of the Lagrangian to separate second-order time derivative terms from rest. This decomposition is useful for checking the degeneracy hidden in the Lagrangian and helps us find conditions under which Ostrogradsky instability does not appear. We show that our construction of Lagrangian resembles that of a GR-like theory for a particular case in the unitary gauge. As an example, we calculate the equation of motion for the flat FRW. We also write the action for open and closed cases, free from higher derivatives for a particular choice derived from imposing degeneracy conditions.
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48

Nair, Vishnu R. "Implications of Behavioural Finance in the Derivative Segment." International Journal for Research in Applied Science and Engineering Technology 11, no. 2 (February 28, 2023): 1268–71. http://dx.doi.org/10.22214/ijraset.2023.49248.

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Abstract: The field of finance has evolved significantly over the years, and with the advent of behavioural finance, a new perspective has emerged in the way market participants behave and make decisions. This article conceptually explores the implications of behavioural finance in the derivatives segment, which is a complex and sophisticated financial instrument that allows investors to hedge their positions, speculate, and manage risk. The article provides an overview of traditional finance theory and introduces the concepts of behavioural finance, followed by the various behavioural biases that can affect decisionmaking in the derivative market. Finally, the article concludes by highlighting the potential benefits of incorporating behavioural finance into the derivatives segment.
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49

Abolhasani, Aliakbar, and Harry Goodhew. "Derivative interactions during inflation: a systematic approach." Journal of Cosmology and Astroparticle Physics 2022, no. 06 (June 1, 2022): 032. http://dx.doi.org/10.1088/1475-7516/2022/06/032.

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Abstract We present a systematic prescription for calculating cosmological correlation functions for models with derivative interactions through the wavefunction of the universe and compare this result with the “in-in” formalism — canonical approach. The key step in this procedure is to perform the path integral over conjugate momenta after which a straightforward generalisation of Feynman's Rules can be applied. We show that this integral recovers the classical action plus some additional divergent contributions which are necessary to cancel other divergences that arise due to loop diagrams involving time derivatives. As a side project, for the first time, we introduce the “off-shell” version of the in-in formalism that is sometimes more straightforward, especially for the models with derivative coupling. To examine our prescription, as a specific example, we work out the trispectra of the scalar fluctuation in the model with the λϕ' 3 derivative coupling.
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50

Mohareb, R. M., and S. M. Fahmy. "Cyanothioacetamide in Heterocyclic Synthesis: A New Approach for the Synthesis of 2-Pyridothione and 2-Pyridazinothione Derivatives." Zeitschrift für Naturforschung B 41, no. 1 (January 1, 1986): 105–9. http://dx.doi.org/10.1515/znb-1986-0122.

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Abstract Cyanothioacetamide (1) undergoes self condensation to give 4,6-diamino-3-cyano-2-pyrido-thione (2). The latter was utilised in synthesis of pyrido[2,3-c]pyrazole, pyrido[2,3-d]pyrim idine, bis-(pyridothione derivatives) through reaction with hydrazine hydrate, ethoxycarbonyl isothio-cyanate and cinnamonitrile derivatives. Also 1 undergoes self dimerisation to give 13, the latter form the pyridazine derivative on coupling with benzenediazonium chloride.
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