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Handbook of fractional calculus with applications. Volume 1, Basic theory /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Kochubei, Anatoly N. (Editor ), Luchko, Yurii F. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2019]
Colección:De Gruyter reference.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Handbook of fractional calculus with applications.  |n Volume 1,  |p Basic theory /  |c Anatoly Kochubei, Yuri Luchko (eds.). 
246 3 0 |a Fractional calculus with applications.  |n Volume 1,  |p Basic theory 
246 3 0 |a Basic theory 
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504 |a Includes bibliographical references and index. 
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505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t Recent history of the fractional calculus: data and statistics /  |r Tenreiro Machado, J.A. / Kiryakova, Virginia --  |t Basic FC operators and their properties /  |r Kochubei, Anatoly N. / Luchko, Yuri --  |t Mathematical and physical interpretations of fractional derivatives and integrals /  |r Hilfer, Rudolf --  |t Generalized fractional calculus operators with special functions /  |r Kiryakova, Virginia --  |t General fractional calculus /  |r Kochubei, Anatoly N. --  |t Multiple Erdélyi-Kober integrals and derivatives as operators of generalized fractional calculus /  |r Kiryakova, Virginia / Luchko, Yuri --  |t Fractional Laplace operator and its properties /  |r Kwaśnicki, Mateusz --  |t Applications of the Mellin integral transform technique in fractional calculus /  |r Luchko, Yuri / Kiryakova, Virginia --  |t Fractional Fourier transform /  |r Luchko, Yuri --  |t The Wright function and its applications /  |r Luchko, Yuri --  |t Mittag-Leffler function: properties and applications /  |r Gorenflo, Rudolf / Mainardi, Francesco / Rogosin, Sergei --  |t Asymptotics of the special functions of fractional calculus /  |r Paris, Richard B. --  |t Analysis of fractional integro-differential equations of thermistor type /  |r Sidi Ammi, Moulay Rchid / Torres, Delfim F.M. --  |t A survey on fractional variational calculus /  |r Almeida, Ricardo / Torres, Delfim F.M. --  |t Variational principles with fractional derivatives /  |r Atanacković, Teodor M. / Konjik, Sanja / Pilipović, Stevan --  |t Continuous time random walks and space-time fractional differential equations /  |r Meerschaert, Mark / Scheffler, Hans Peter --  |t Inverse subordinators and time fractional equations /  |r Meerschaert, Mark M. / Nane, Erkan / Vellaisamy, P. --  |t Spectral theory of fractional order integration operators, their direct sums, and similarity problem to these operators of their weak perturbations /  |r Malamud, Mark M. --  |t Fractional differentiation in p-adic analysis /  |r Kochubei, Anatoly N. --  |t Index 
546 |a In English. 
520 |a 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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