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...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2019]
|
| Schriftenreihe: | De Gruyter reference.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110570632 3110570637 9783110571622 3110571625 |
Internformat
MARC
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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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| 650 | 6 | |a Dérivées fractionnaires. | |
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| 700 | 1 | |a Kochubei, Anatoly N., |e editor. |0 http://id.loc.gov/authorities/names/no2001076057 | |
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| author_GND | http://id.loc.gov/authorities/names/no2001076057 http://id.loc.gov/authorities/names/n94030234 |
| author_additional | 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 -- 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. -- |
| author_facet | Kochubei, Anatoly N. Luchko, Yurii F. |
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| contents | 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 |
| ctrlnum | (OCoLC)1089230087 |
| dewey-full | 515/.83 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515/.83 |
| dewey-sort | 3515 283 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:29:23Z |
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| series | De Gruyter reference. |
| series2 | De Gruyter Reference |
| spelling | Handbook of fractional calculus with applications. Volume 1, Basic theory / Anatoly Kochubei, Yuri Luchko (eds.). Fractional calculus with applications. Volume 1, Basic theory Basic theory Berlin ; Boston : De Gruyter, [2019] 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier text file De Gruyter Reference Includes bibliographical references and index. 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. 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. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. MATHEMATICS Mathematical Analysis. bisacsh Fractional calculus fast Kochubei, Anatoly N., editor. http://id.loc.gov/authorities/names/no2001076057 Luchko, Yurii F., editor. http://id.loc.gov/authorities/names/n94030234 has work: Handbook of fractional calculus with applications Volume 1 Basic theory (Text) https://id.oclc.org/worldcat/entity/E39PCGDJhWv3BFxxkkJwM7JRXb https://id.oclc.org/worldcat/ontology/hasWork Print version: 3110570815 9783110570816 (OCoLC)1056450650 De Gruyter reference. http://id.loc.gov/authorities/names/no2014083973 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=2034473 Volltext |
| spellingShingle | Handbook of fractional calculus with applications. De Gruyter reference. 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 Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. MATHEMATICS Mathematical Analysis. bisacsh Fractional calculus fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh93004015 |
| title | Handbook of fractional calculus with applications. |
| title_alt | Fractional calculus with applications. Volume 1, Basic theory Basic theory 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 |
| title_auth | Handbook of fractional calculus with applications. |
| title_exact_search | Handbook of fractional calculus with applications. |
| title_full | Handbook of fractional calculus with applications. Volume 1, Basic theory / Anatoly Kochubei, Yuri Luchko (eds.). |
| title_fullStr | Handbook of fractional calculus with applications. Volume 1, Basic theory / Anatoly Kochubei, Yuri Luchko (eds.). |
| title_full_unstemmed | Handbook of fractional calculus with applications. Volume 1, Basic theory / Anatoly Kochubei, Yuri Luchko (eds.). |
| title_short | Handbook of fractional calculus with applications. |
| title_sort | handbook of fractional calculus with applications basic theory |
| topic | Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. MATHEMATICS Mathematical Analysis. bisacsh Fractional calculus fast |
| topic_facet | Fractional calculus. Dérivées fractionnaires. MATHEMATICS Mathematical Analysis. Fractional calculus |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=2034473 |
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