Handbook of Fractional Calculus with Applications. / Volume 1, : Basic Theory / / ed. by 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, integ...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 |
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MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
Year of Publication: | 2019 |
Language: | English |
Series: | De Gruyter Reference ;
Volume 1 |
Online Access: | |
Physical Description: | 1 online resource (VIII, 481 p.) |
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Other title: | Frontmatter -- 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 |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110571622 9783110719567 9783110616859 9783110610765 9783110664232 9783110610406 9783110606362 |
DOI: | 10.1515/9783110571622 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | ed. by Anatoly Kochubei, Yuri Luchko. |