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Handbook of fractional calculus with applications. Volume 1, Basic theory / Anatoly Kochubei, Yuri Luchko (eds.).

Contributor(s): Material type: TextTextSeries: De Gruyter referencePublisher: Berlin ; Boston : De Gruyter, [2019]Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110570632
  • 3110570637
  • 9783110571622
  • 3110571625
Other title:
  • Fractional calculus with applications. Volume 1, Basic theory
  • Basic theory
Subject(s): Genre/Form: Additional physical formats: Print version:: No titleDDC classification:
  • 515/.83 23
LOC classification:
  • QA314 .H36 2019
Online resources:
Contents:
Frontmatter -- Preface -- Contents -- Recent history of the fractional calculus: data and statistics / Tenreiro Machado, J. A. / Kiryakova, Virginia -- Basic FC operators and their properties / Kochubei, Anatoly N. / Luchko, Yuri -- Mathematical and physical interpretations of fractional derivatives and integrals / Hilfer, Rudolf -- Generalized fractional calculus operators with special functions / Kiryakova, Virginia -- General fractional calculus / Kochubei, Anatoly N. -- Multiple Erdélyi-Kober integrals and derivatives as operators of generalized fractional calculus / Kiryakova, Virginia / Luchko, Yuri -- Fractional Laplace operator and its properties / Kwaśnicki, Mateusz -- Applications of the Mellin integral transform technique in fractional calculus / Luchko, Yuri / Kiryakova, Virginia -- Fractional Fourier transform / Luchko, Yuri -- The Wright function and its applications / Luchko, Yuri -- Mittag-Leffler function: properties and applications / Gorenflo, Rudolf / Mainardi, Francesco / Rogosin, Sergei -- Asymptotics of the special functions of fractional calculus / Paris, Richard B. -- Analysis of fractional integro-differential equations of thermistor type / Sidi Ammi, Moulay Rchid / Torres, Delfim F. M. -- A survey on fractional variational calculus / Almeida, Ricardo / Torres, Delfim F. M. -- Variational principles with fractional derivatives / Atanacković, Teodor M. / Konjik, Sanja / Pilipović, Stevan -- Continuous time random walks and space-time fractional differential equations / Meerschaert, Mark / Scheffler, Hans Peter -- Inverse subordinators and time fractional equations / Meerschaert, Mark M. / Nane, Erkan / Vellaisamy, P. -- Spectral theory of fractional order integration operators, their direct sums, and similarity problem to these operators of their weak perturbations / Malamud, Mark M. -- Fractional differentiation in p-adic analysis / Kochubei, Anatoly N. -- Index
Holdings
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eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references and index.

Description based on online resource; title from digital title page (viewed on September 05, 2019).

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

In English.

Master record variable field(s) change: 072

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