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Books on the topic 'Fractional-order ordinary differential equations'

Author: Grafiati
Published: 28 June 2021
Last updated: 7 February 2022

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1

Paris, R. B. Asymptotics of high-order ordinary differential equations. Boston, (Mass.): Pitman Advanced, 1985.

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2

D, Wood A., ed. Asymptotics of high-order ordinary differential equations. Boston: Pitman Pub., 1986.

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3

Zhukova, Galina. Differential equations. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072180.

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Abstract:
The textbook presents the theory of ordinary differential equations constituting the subject of the discipline "Differential equations". Studied topics: differential equations of first, second, arbitrary order; differential equations; integration of initial and boundary value problems; stability theory of solutions of differential equations and systems. Introduced the basic concepts, proven properties of differential equations and systems. The article presents methods of analysis and solutions. We consider the applications of the obtained results, which are illustrated on a large number of specific tasks. For independent quality control mastering the course material suggested test questions on the theory, exercises and tasks. It is recommended that teachers, postgraduates and students of higher educational institutions, studying differential equations and their applications.
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4

Boutayeb, Abdesslam. Numerical methods for high-order ordinary differential equations with applications to eigenvalue problems. Uxbridge: Brunel University, 1990.

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5

Hartley, T. T. A solution to the fundamental linear fractional order differential equation. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1998.

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6

Spectral analysis, differential equations, and mathematical physics: A festschrift in honor of Fritz Gesztesy's 60th birthday. Providence, Rhode Island: American Mathematical Society, 2013.

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7

1954-, Sickel Winfried, ed. Sobolev spaces of fractional order, Nemytskij operators, and nonlinear partial differential equations. Berlin: Walter de Gruyter, 1996.

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8

Hartley, T. T. Fractional system identification: An approach using continuous order-distributions. Cleveland, Ohio: National Aeronautics and Space Administration, Glenn Research Center, 1999.

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9

Hartley, T. T. Insights into the fractional order initial value problem via semi-infinite systems. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1998.

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10

Kalinin, Sergey, and Larisa Pankratova. Ordinary differential equations of the first order. Science and Innovation Center Publishing House, 2020. http://dx.doi.org/10.12731/978-5-907208-23-0.

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11

Asymptotic Integration And Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order. 4th ed. New Jersey, USA: World Scientific Publishing Company Pvt. Ltd., 2015.

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12

David, Freed Alan, and Lewis Research Center, eds. Asymptotic integration algorithms for nonhomogeneous, nonlinear, first order, ordinary differential equations. [Cleveland, Ohio: Lewis Research Center, 1991.

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13

Second-order ordinary differential equations Special functions, Sturm-Liouville theory and transforms. Bookboon, 2013.

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14

Second-order ordinary differential equations Special functions, Sturm-Liouville theory and transforms. Bookboon, 2013.

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15

Second-order ordinary differential equations Special functions, Sturm-Liouville theory and transforms. Bookboon, 2013.

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16

Second-order ordinary differential equations Special functions, Sturm-Liouville theory and transforms. Bookboon, 2013.

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17

Second-order ordinary differential equations Special functions, Sturm-Liouville theory and transforms. Bookboon.com, 2013.

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18

Takashi, Aoki, and Kyōto Daigaku. Sūri Kaiseki Kenkyūjo., eds. Virtual truning points and bifurcation of Stokes curves for higher order ordinary differential equations. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2004.

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19

Sibuya, Yasutaka. Global Gheory of a Second Order: Linear Ordinary Differential Equation With a Polynomial Coefficent (North-Holland mathematics studies). North-Holland, 1995.

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20

Fonda, Alessandro. Playing Around Resonance: An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations. Birkhäuser, 2018.

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21

Fonda, Alessandro. Playing Around Resonance: An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations. Birkhäuser, 2016.

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22

Stamova, Ivanka, and Gani Stamov. Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications. Taylor & Francis Group, 2017.

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23

Stamova, Ivanka, and Gani Stamov. Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications. Taylor & Francis Group, 2017.

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24

Stamova, Ivanka, and Gani Stamov. Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications. Taylor & Francis Group, 2017.

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25

Stamova, Ivanka, and Gani Stamov. Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications. Taylor & Francis Group, 2017.

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26

Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications. Taylor & Francis Group, 2016.

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27

Chakraverty, Snehashish, Smita Tapaswini, and Diptiranjan Behera. Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications. Wiley & Sons, Incorporated, John, 2016.

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28

Chakraverty, Snehashish, Smita Tapaswini, and Diptiranjan Behera. Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications. Wiley & Sons, Incorporated, John, 2016.

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29

Atangana, Abdon. Fractional Operators with Constant and Variable Order with Application to Geo-Hydrology. Elsevier Science & Technology Books, 2017.

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30

Runst, Thomas, and Winfried Sickel. Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations. De Gruyter, Inc., 1996.

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