Journal articles on the topic 'Fractional derivatives at zero'
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Bouzeffour, Fethi. "Advancing Fractional Riesz Derivatives through Dunkl Operators." Mathematics 11, no. 19 (September 25, 2023): 4073. http://dx.doi.org/10.3390/math11194073.
Full textHILFER, R. "FOUNDATIONS OF FRACTIONAL DYNAMICS." Fractals 03, no. 03 (September 1995): 549–56. http://dx.doi.org/10.1142/s0218348x95000485.
Full textFarr, Ricky E., Sebastian Pauli, and Filip Saidak. "zero-free region for the fractional derivatives of the Riemann zeta function." New Zealand Journal of Mathematics 50 (September 4, 2020): 1–9. http://dx.doi.org/10.53733/42.
Full textNABER, MARK. "DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION." Fractals 12, no. 01 (March 2004): 23–32. http://dx.doi.org/10.1142/s0218348x04002410.
Full textAgarwal, Ravi P., Snezhana Hristova, and Donal O’Regan. "Asymptotic Behavior of Delayed Reaction-Diffusion Neural Networks Modeled by Generalized Proportional Caputo Fractional Partial Differential Equations." Fractal and Fractional 7, no. 1 (January 11, 2023): 80. http://dx.doi.org/10.3390/fractalfract7010080.
Full textDiethelm, Kai, Roberto Garrappa, Andrea Giusti, and Martin Stynes. "Why fractional derivatives with nonsingular kernels should not be used." Fractional Calculus and Applied Analysis 23, no. 3 (June 25, 2020): 610–34. http://dx.doi.org/10.1515/fca-2020-0032.
Full textLuchko, Yuri. "General Fractional Integrals and Derivatives with the Sonine Kernels." Mathematics 9, no. 6 (March 10, 2021): 594. http://dx.doi.org/10.3390/math9060594.
Full textMugbil, Ahmad, and Nasser-Eddine Tatar. "Hadamard-Type Fractional Integro-Differential Problem: A Note on Some Asymptotic Behavior of Solutions." Fractal and Fractional 6, no. 5 (May 15, 2022): 267. http://dx.doi.org/10.3390/fractalfract6050267.
Full textProdanov, Dimiter. "Generalized Differentiability of Continuous Functions." Fractal and Fractional 4, no. 4 (December 10, 2020): 56. http://dx.doi.org/10.3390/fractalfract4040056.
Full textArea, I., J. Losada, and J. J. Nieto. "On Fractional Derivatives and Primitives of Periodic Functions." Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/392598.
Full textTarasov, Vasily E. "Fractional Dynamics with Depreciation and Obsolescence: Equations with Prabhakar Fractional Derivatives." Mathematics 10, no. 9 (May 4, 2022): 1540. http://dx.doi.org/10.3390/math10091540.
Full textAlbidah, Abdulrahman B. "Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution." Fractal and Fractional 7, no. 12 (November 28, 2023): 843. http://dx.doi.org/10.3390/fractalfract7120843.
Full textLuchko, Yuri. "General Fractional Integrals and Derivatives of Arbitrary Order." Symmetry 13, no. 5 (April 27, 2021): 755. http://dx.doi.org/10.3390/sym13050755.
Full textZhang, Xiaoping, and Yongping Sun. "Monotone Iterative Methods of Positive Solutions for Fractional Differential Equations Involving Derivatives." Mathematical Problems in Engineering 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/254012.
Full textGorial, Iman I. "Numerical Simulation for Fractional Percolation Equation." Mathematical Modelling of Engineering Problems 8, no. 3 (June 24, 2021): 425–30. http://dx.doi.org/10.18280/mmep.080312.
Full textSalem, Ahmed, Lamya Almaghamsi, and Faris Alzahrani. "An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique." Fractal and Fractional 5, no. 4 (October 25, 2021): 182. http://dx.doi.org/10.3390/fractalfract5040182.
Full textLuchko, Yuri. "Operational calculus for the general fractional derivative and its applications." Fractional Calculus and Applied Analysis 24, no. 2 (April 1, 2021): 338–75. http://dx.doi.org/10.1515/fca-2021-0016.
Full textTarasov, Vasily E. "Local Fractional Derivatives of Differentiable Functions are Integer-order Derivatives or Zero." International Journal of Applied and Computational Mathematics 2, no. 2 (April 18, 2015): 195–201. http://dx.doi.org/10.1007/s40819-015-0054-6.
Full textZhang, Xianmin, Xianzhen Zhang, Zuohua Liu, Wenbin Ding, Hui Cao, and Tong Shu. "On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives." Mathematical Problems in Engineering 2016 (2016): 1–12. http://dx.doi.org/10.1155/2016/2814310.
Full textAlharthi, Nadiyah Hussain, Abdon Atangana, and Badr S. Alkahtani. "Numerical analysis of some partial differential equations with fractal-fractional derivative." AIMS Mathematics 8, no. 1 (2022): 2240–56. http://dx.doi.org/10.3934/math.2023116.
Full textHristov, Jordan. "Double integral-balance method to the fractional subdiffusion equation: Approximate solutions, optimization problems to be resolved and numerical simulations." Journal of Vibration and Control 23, no. 17 (December 27, 2015): 2795–818. http://dx.doi.org/10.1177/1077546315622773.
Full textZhang, Xianmin, Wenbin Ding, Hui Peng, Zuohua Liu, and Tong Shu. "The general solution of impulsive systems with Riemann-Liouville fractional derivatives." Open Mathematics 14, no. 1 (January 1, 2016): 1125–37. http://dx.doi.org/10.1515/math-2016-0096.
Full textHanna, Latif A.-M., Maryam Al-Kandari, and Yuri Luchko. "Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives." Fractional Calculus and Applied Analysis 23, no. 1 (February 25, 2020): 103–25. http://dx.doi.org/10.1515/fca-2020-0004.
Full textLuchko, Yuri. "Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications." Mathematics 9, no. 17 (September 2, 2021): 2132. http://dx.doi.org/10.3390/math9172132.
Full textKleiner, Tillmann, and Rudolf Hilfer. "Sequential generalized Riemann–Liouville derivatives based on distributional convolution." Fractional Calculus and Applied Analysis 25, no. 1 (February 2022): 267–98. http://dx.doi.org/10.1007/s13540-021-00012-0.
Full textMalik, Amita, and Arindam Roy. "On the distribution of zeros of derivatives of the Riemann ξ-function." Forum Mathematicum 32, no. 1 (January 1, 2020): 1–22. http://dx.doi.org/10.1515/forum-2018-0081.
Full textSchmitt, Joseph M. "Fractional Derivative Analysis of Diffuse Reflectance Spectra." Applied Spectroscopy 52, no. 6 (June 1998): 840–46. http://dx.doi.org/10.1366/0003702981944580.
Full textDong, Qixiang, Can Liu, and Zhenbin Fan. "Weighted fractional differential equations with infinite delay in Banach spaces." Open Mathematics 14, no. 1 (January 1, 2016): 370–83. http://dx.doi.org/10.1515/math-2016-0035.
Full textJamil, Muhammad, and Najeeb Alam Khan. "Slip Effects on Fractional Viscoelastic Fluids." International Journal of Differential Equations 2011 (2011): 1–19. http://dx.doi.org/10.1155/2011/193813.
Full textLiaqat, Muhammad Imran, Adnan Khan, Ali Akgül, and Md Shajib Ali. "A Novel Numerical Technique for Fractional Ordinary Differential Equations with Proportional Delay." Journal of Function Spaces 2022 (July 7, 2022): 1–21. http://dx.doi.org/10.1155/2022/6333084.
Full textKhan, Adnan, Muhammad Imran Liaqat, Muhammad Younis, and Ashraful Alam. "Approximate and Exact Solutions to Fractional Order Cauchy Reaction-Diffusion Equations by New Combine Techniques." Journal of Mathematics 2021 (December 16, 2021): 1–12. http://dx.doi.org/10.1155/2021/5337255.
Full textKostic, Marko. "Asymptotically almost periodic solutions of fractional relaxation inclusions with Caputo derivatives." Publications de l'Institut Math?matique (Belgrade) 104, no. 118 (2018): 23–41. http://dx.doi.org/10.2298/pim1818023k.
Full textKrasnoshchok, Mykola. "Strong solution of a hydrodinamics problem with memory." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 34 (April 24, 2021): 62–74. http://dx.doi.org/10.37069/1683-4720-2020-34-7.
Full textBayındır, Cihan, Sofi Farazande, Azmi Ali Altintas, and Fatih Ozaydin. "Petviashvili Method for the Fractional Schrödinger Equation." Fractal and Fractional 7, no. 1 (December 23, 2022): 9. http://dx.doi.org/10.3390/fractalfract7010009.
Full textLopushanska, H., and A. Lopushansky. "REGULAR SOLUTION OF THE INVERSE PROBLEM WITH INTEGRAL CONDITION FOR A TIME-FRACTIONAL EQUATION." Bukovinian Mathematical Journal 8, no. 2 (2020): 103–13. http://dx.doi.org/10.31861/bmj2020.02.09.
Full textMadamlieva, Ekaterina, Hristo Kiskinov, Milena Petkova, and Andrey Zahariev. "On the Preservation with Respect to Nonlinear Perturbations of the Stability Property for Nonautonomous Linear Neutral Fractional Systems with Distributed Delays." Mathematics 10, no. 15 (July 28, 2022): 2642. http://dx.doi.org/10.3390/math10152642.
Full textProdanov, Dimiter. "Characterization of the Local Growth of Two Cantor-Type Functions." Fractal and Fractional 3, no. 3 (August 21, 2019): 45. http://dx.doi.org/10.3390/fractalfract3030045.
Full textWang, Weiqian, Yuanhua Qiao, Jun Miao, and Lijuan Duan. "Dynamic Analysis of Fractional-Order Recurrent Neural Network with Caputo Derivative." International Journal of Bifurcation and Chaos 27, no. 12 (November 2017): 1750181. http://dx.doi.org/10.1142/s0218127417501814.
Full textZahariev, Andrey, and Hristo Kiskinov. "Asymptotic Stability of the Solutions of Neutral Linear Fractional System with Nonlinear Perturbation." Mathematics 8, no. 3 (March 10, 2020): 390. http://dx.doi.org/10.3390/math8030390.
Full textPauli, Sebastian, and Filip Saidak. "Zero-free regions of the fractional derivatives of the Riemann zeta function." Lithuanian Mathematical Journal 62, no. 1 (January 2022): 99–112. http://dx.doi.org/10.1007/s10986-022-09551-2.
Full textKhan, Najeeb Alam, Muhammad Jamil, and Asmat Ara. "Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method." ISRN Mathematical Physics 2012 (March 28, 2012): 1–11. http://dx.doi.org/10.5402/2012/197068.
Full textLiao, Zhiwu. "A New Definition of Fractional Derivatives Based on Truncated Left-Handed Grünwald-Letnikov Formula with0<α<1and Median Correction." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/914386.
Full textTorres-Hernandez, A., F. Brambila-Paz, and J. J. Brambila. "A Nonlinear System Related to Investment under Uncertainty Solved using the Fractional Pseudo-Newton Method." Journal of Mathematical Sciences: Advances and Applications 63, no. 1 (October 10, 2020): 41–53. http://dx.doi.org/10.18642/jmsaa_7100122150.
Full textGarcía-Fiñana, Marta, and Luis M. Cruz-Orive. "FRACTIONAL TREND OF THE VARIANCE IN CAVALIERI SAMPLING." Image Analysis & Stereology 19, no. 2 (May 3, 2011): 71. http://dx.doi.org/10.5566/ias.v19.p71-79.
Full textWang, Zhi-Bo, Da-Yan Liu, and Driss Boutat. "Algebraic estimation for fractional integrals of noisy acceleration based on the behaviour of fractional derivatives at zero." Applied Mathematics and Computation 430 (October 2022): 127254. http://dx.doi.org/10.1016/j.amc.2022.127254.
Full textPlociniczak, Lukasz. "ON ASYMPTOTICS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS." Mathematical Modelling and Analysis 18, no. 3 (June 1, 2013): 358–73. http://dx.doi.org/10.3846/13926292.2013.804888.
Full textGomoyunov, Mikhail I. "Differential Games for Fractional-Order Systems: Hamilton–Jacobi–Bellman–Isaacs Equation and Optimal Feedback Strategies." Mathematics 9, no. 14 (July 15, 2021): 1667. http://dx.doi.org/10.3390/math9141667.
Full textKittisopaporn, Adisorn, and Pattrawut Chansangiam. "Approximate solutions of the $ 2 $D space-time fractional diffusion equation via a gradient-descent iterative algorithm with Grünwald-Letnikov approximation." AIMS Mathematics 7, no. 5 (2022): 8471–90. http://dx.doi.org/10.3934/math.2022472.
Full textLaksaci, Noura, Ahmed Boudaoui, Seham Mahyoub Al-Mekhlafi, and Abdon Atangana. "Mathematical analysis and numerical simulation for fractal-fractional cancer model." Mathematical Biosciences and Engineering 20, no. 10 (2023): 18083–103. http://dx.doi.org/10.3934/mbe.2023803.
Full textLozynskyy, Orest, Yaroslav Marushchak, Andriy Lozynskyy, Bohdan Kopchak, and Lidiya Kasha. "Application of frequency stability criterion for analysis of dynamic systems with characteristic polynomials formed in j1/3 basis." Computational Problems of Electrical Engineering 10, no. 1 (May 12, 2020): 11–18. http://dx.doi.org/10.23939/jcpee2020.01.011.
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