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# Recent Developments in Theory and Applications of Fractional Order Systems

- 1st Edition - February 1, 2025
- Editors: Mehmet Yavuz, Dharmendra Kumar Singh, Stuart Townley
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 2 3 9 5 2 - 6
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 2 3 9 5 3 - 3

Recent Developments in Theory and Applications of Fractional Order Systems presents a rigorous and thorough analysis of various aspects of Fractional Calculus. The bo… Read more

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Request a sales quote*Recent Developments in Theory and Applications of Fractional Order Systems *presents a rigorous and thorough analysis of various aspects of Fractional Calculus.* *The book provides readers with a thorough understanding of fundamental concepts and methods of applied mathematics utilized in a variety of scientific and engineering disciplines.* *The authors present each computational modelling concept with a definition, methods, theorems, and observations followed by typical application problems along with the step-by-step solutions. Each topic is covered in detail, followed typically by several meticulously worked out examples, and a problem set containing many additional related problems. The authors* *discuss recent development in and the latest research on Fractional Calculus and its applications, demonstrating important applications in Engineering, Computer Science, Management, Social Science, and the Humanities.

- Provides readers with a thorough understanding of fundamental concepts and methods of applied mathematics utilized in a variety of scientific and engineering disciplines
- Presents a systematic introduction to most of the important special functions in Fractional Calculus that commonly arise in scientific and engineering practice and explores many of their salient computational modelling properties
- Analyzes many theoretical and practical problems of Fractional Calculus in fields such as Engineering, Computer Science, Management, Social Science, and the Humanities

Researchers in computational modelling, applied mathematicians, and computer scientists working with researchers, engineers, and scientists in a wide range of modelling applications, Other interested audiences will be comprised of researchers, developers, and graduate students in computer science and mathematics interested in fractional calculus, including fractional differential equations, fractional optimal control problems, fractional kinetic equations, and fractional free electron laser equations

2. Fractional Derivatives and Integrals

3. Transforms of Fractional Derivatives

4. Linear Fractional Differential Equations

5. Fractional Green's Function

6. Other Methods for the Solution of Fractional-order Equations

7. Fractional ordinary differential equations and properties

8. Existence and uniqueness of solutions to Cauchy-type problems

9. Stability estimates for fractional order differential equations

10. Partial Fractional differential equations and their solutions

11. Numerical Evaluation of Fractional Derivative

12. Approximation of Fractional Derivatives

13. Numerical method for fractional order ordinary differential equations

14. Finite-difference method for fractional ODEs

15. High-order approximation of Caputo fractional derivative

16. Adaptive and high-order scheme for non-integer order differential equations

17. Time-fractional diffusion equations

18. Fractional diffusion

19. Fractional‐order Modeling

20. Linear Fractional‐order Systems

21. Current trends in fractional derivatives

22. Fractional‐order Control

23. Fractional integral inequalities and Applications

24. Discrete fractional calculus and applications

25. Fractional variational calculus and fractional Euler-Lagrange Equation

26. Fractional Calculus in Image/Signal Processing

- No. of pages: 300
- Language: English
- Edition: 1
- Published: February 1, 2025
- Imprint: Morgan Kaufmann
- Paperback ISBN: 9780443239526
- eBook ISBN: 9780443239533

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### Mehmet Yavuz

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### Dharmendra Kumar Singh

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