, ,

Recent Developments in Theory and Applications of Fractional Order Systems

Specificaties
Paperback, blz. | Engels
Elsevier Science | 2025
ISBN13: 9780443239526
Rubricering
Elsevier Science e druk, 2025 9780443239526
€ 201,39
Levertijd ongeveer 9 werkdagen
Gratis verzonden

Samenvatting

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.

Specificaties

ISBN13:9780443239526
Taal:Engels
Bindwijze:Paperback

Inhoudsopgave

1. Special Functions of the Fractional Calculus<br>2. Fractional Derivatives and Integrals<br>3. Transforms of Fractional Derivatives<br>4. Linear Fractional Differential Equations<br>5. Fractional Green's Function<br>6. Other Methods for the Solution of Fractional-order Equations<br>7. Fractional ordinary differential equations and properties<br>8. Existence and uniqueness of solutions to Cauchy-type problems<br>9. Stability estimates for fractional order differential equations<br>10. Partial Fractional differential equations and their solutions<br>11. Numerical Evaluation of Fractional Derivative<br>12. Approximation of Fractional Derivatives<br>13. Numerical method for fractional order ordinary differential equations<br>14. Finite-difference method for fractional ODEs<br>15. High-order approximation of Caputo fractional derivative<br>16. Adaptive and high-order scheme for non-integer order differential equations<br>17. Time-fractional diffusion equations<br>18. Fractional diffusion<br>19. Fractional‐order Modeling<br>20. Linear Fractional‐order Systems<br>21. Current trends in fractional derivatives<br>22. Fractional‐order Control<br>23. Fractional integral inequalities and Applications<br>24. Discrete fractional calculus and applications<br>25. Fractional variational calculus and fractional Euler-Lagrange Equation<br>26. Fractional Calculus in Image/Signal Processing
€ 201,39
Levertijd ongeveer 9 werkdagen
Gratis verzonden

Rubrieken

    Personen

      Trefwoorden

        Recent Developments in Theory and Applications of Fractional Order Systems