- 489 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Basic Theory
About this book
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.
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Yes, you can access Basic Theory by Anatoly Kochubei, Yuri Luchko, Anatoly Kochubei,Yuri Luchko in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Title Page
- Copyright
- Preface
- Contents
- Recent history of the fractional calculus: data and statistics
- Basic FC operators and their properties
- Mathematical and physical interpretations of fractional derivatives and integrals
- Generalized fractional calculus operators with special functions
- General fractional calculus
- Multiple Erdélyi–Kober integrals and derivatives as operators of generalized fractional calculus
- Fractional Laplace operator and its properties
- Applications of the Mellin integral transform technique in fractional calculus
- Fractional Fourier transform
- The Wright function and its applications
- Mittag-Leffler function: properties and applications
- Asymptotics of the special functions of fractional calculus
- Analysis of fractional integro-differential equations of thermistor type
- A survey on fractional variational calculus
- Variational principles with fractional derivatives
- Continuous time random walks and space-time fractional differential equations
- Inverse subordinators and time fractional equations
- Spectral theory of fractional order integration operators, their direct sums, and similarity problem to these operators of their weak perturbations
- Fractional differentiation in p-adic analysis
- Index