Handbook of Fractional Calculus with Applications Vol 1 Basic Theory De Gruyter Reference 1st Edition by Anatoly Kochubei, Yuri Luchko 3110570815 9783110570816

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Product details:

ISBN 10: 3110570815 

ISBN 13: 9783110570816

Author:  Anatoly Kochubei, Yuri Luchko 

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Handbook of Fractional Calculus with Applications Vol 1 Basic Theory De Gruyter Reference 1st table of contents: 

1. Recent history of the fractional calculus: data and statistics
2. Basic FC operators and their properties
3. Mathematical and physical interpretations of fractional derivatives and integrals
4. Generalized fractional calculus operators with special functions
5. General fractional calculus
6. Multiple Erdélyi–Kober integrals and derivatives as operators of generalized fractional calculus
7. Fractional Laplace operator and its properties
8. Applications of the Mellin integral transform technique in fractional calculus
9. Fractional Fourier transform
10. The Wright function and its applications
11. Mittag-Leffler function: properties and applications
12. Asymptotics of the special functions of fractional calculus
13. Analysis of fractional integro-differential equations of thermistor type
14. A survey on fractional variational calculus
15. Variational principles with fractional derivatives
16. Continuous time random walks and space-time fractional differential equations
17. Inverse subordinators and time fractional equations
18. Spectral theory of fractional order integration operators, their direct sums, and similarity problem to these operators of their weak perturbations
19. Fractional differentiation in p-adic analysis

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Tags: Handbook, Fractional Calculus, Applications, De Gruyter, Anatoly Kochubei, Yuri Luchko