Recent Developments in Theory and Applications of Fractional Order Systems

Herausgeber: Yavuz, Mehmet; Townley, Stuart; Singh, Dharmendra Kumar

• Broschiertes Buch

Produktbeschreibung

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 modeling concept with a definition, methods, theorems, and observations followed by typical application problems and 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. In addition, the book discusses recent developments and the latest research on Fractional Calculus and its applications, demonstrating important applications in Engineering, Computer Science, Management, Social Science, and the Humanities.

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Produktdetails

• Verlag: Elsevier Science
• Seitenzahl: 300
• Erscheinungstermin: 1. August 2025
• Englisch
• ISBN-13: 9780443239526
• ISBN-10: 0443239525
• Artikelnr.: 70983830

Inhaltsangabe

1. Special Functions of the Fractional Calculus 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