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  • Recent Developments in Theory and Applications of Fractional Order Systems

    Recent Developments in Theory and Applications of Fractional Order Systems by Yavuz, Mehmet; Singh, Dharmendra Kumar; Townley, Stuart;

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      • Kiadói listaár EUR 166.99
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        69 259 Ft (65 961 Ft + 5% áfa)
      • Kedvezmény(ek) 20% (cc. 13 852 Ft off)
      • Kedvezményes ár 55 407 Ft (52 769 Ft + 5% áfa)

    69 259 Ft

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    Hosszú leírás:

    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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    Tartalomjegyzék:

    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

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