Handbook of fractional calculus with applications. Volume 1, Basic theory /
Handbook of fractional calculus with applications. Volume 1, Basic theory /
Fractional calculus with applications. Volume 1, Basic theory Basic theory
Anatoly Kochubei, Yuri Luchko (eds.).
- 1 online resource
- De Gruyter Reference .
- De Gruyter reference. .
Includes bibliographical references and index.
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 Tenreiro Machado, J. A. / Kiryakova, Virginia -- Kochubei, Anatoly N. / Luchko, Yuri -- Hilfer, Rudolf -- Kiryakova, Virginia -- Kochubei, Anatoly N. -- Kiryakova, Virginia / Luchko, Yuri -- Kwaśnicki, Mateusz -- Luchko, Yuri / Kiryakova, Virginia -- Luchko, Yuri -- Luchko, Yuri -- Gorenflo, Rudolf / Mainardi, Francesco / Rogosin, Sergei -- Paris, Richard B. -- Sidi Ammi, Moulay Rchid / Torres, Delfim F. M. -- Almeida, Ricardo / Torres, Delfim F. M. -- Atanacković, Teodor M. / Konjik, Sanja / Pilipović, Stevan -- Meerschaert, Mark / Scheffler, Hans Peter -- Meerschaert, Mark M. / Nane, Erkan / Vellaisamy, P. -- Malamud, Mark M. -- Kochubei, Anatoly N. --
In English.
9783110570632 3110570637 9783110571622 3110571625
10.1515/9783110571622 doi
Fractional calculus.
Fractional calculus.
MATHEMATICS / Mathematical Analysis.
Electronic books.
QA314 / .H36 2019
515/.83
Includes bibliographical references and index.
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 Tenreiro Machado, J. A. / Kiryakova, Virginia -- Kochubei, Anatoly N. / Luchko, Yuri -- Hilfer, Rudolf -- Kiryakova, Virginia -- Kochubei, Anatoly N. -- Kiryakova, Virginia / Luchko, Yuri -- Kwaśnicki, Mateusz -- Luchko, Yuri / Kiryakova, Virginia -- Luchko, Yuri -- Luchko, Yuri -- Gorenflo, Rudolf / Mainardi, Francesco / Rogosin, Sergei -- Paris, Richard B. -- Sidi Ammi, Moulay Rchid / Torres, Delfim F. M. -- Almeida, Ricardo / Torres, Delfim F. M. -- Atanacković, Teodor M. / Konjik, Sanja / Pilipović, Stevan -- Meerschaert, Mark / Scheffler, Hans Peter -- Meerschaert, Mark M. / Nane, Erkan / Vellaisamy, P. -- Malamud, Mark M. -- Kochubei, Anatoly N. --
In English.
9783110570632 3110570637 9783110571622 3110571625
10.1515/9783110571622 doi
Fractional calculus.
Fractional calculus.
MATHEMATICS / Mathematical Analysis.
Electronic books.
QA314 / .H36 2019
515/.83