Recent Developments in Theory and Applications of Fractional Order Systems
Editat de Mehmet Yavuz, Dharmendra Kumar Singh, Stuart Townleyen Limba Engleză Paperback – feb 2025
- 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
- Explores many salient computational modeling properties
- Analyzes theoretical and practical problems in Fractional Calculus in fields such as Engineering, Computer Science, Management, Social Science, and the Humanities
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Specificații
ISBN-13: 9780443239526
ISBN-10: 0443239525
Pagini: 300
Dimensiuni: 191 x 235 mm
Editura: ELSEVIER SCIENCE
ISBN-10: 0443239525
Pagini: 300
Dimensiuni: 191 x 235 mm
Editura: ELSEVIER SCIENCE
Cuprins
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
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