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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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
| Year of Publication: | 2019 |
| Language: | English |
| Series: | De Gruyter Reference ;
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| Physical Description: | 1 online resource (VIII, 481 p.) |
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Handbook of Fractional Calculus with Applications. Volume 1, Basic Theory / ed. by Anatoly Kochubei, Yuri Luchko. Berlin ; Boston : De Gruyter, [2019] ©2019 1 online resource (VIII, 481 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Reference ; Volume 1 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Fractional calculus. Gebrochene Analysis. MATHEMATICS / Mathematical Analysis. bisacsh Almeida, Ricardo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Atanacković, Teodor M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gorenflo, Rudolf, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hilfer, Rudolf, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kiryakova, Virginia, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kochubei, Anatoly N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kochubei, Anatoly, editor. edt http://id.loc.gov/vocabulary/relators/edt Konjik, Sanja, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kwaśnicki, Mateusz, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Luchko, Yuri, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Luchko, Yuri, editor. edt http://id.loc.gov/vocabulary/relators/edt Mainardi, Francesco, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Malamud, Mark M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Meerschaert, Mark M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Meerschaert, Mark, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nane, Erkan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Paris, Richard B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pilipović, Stevan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rogosin, Sergei, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Scheffler, Hans Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sidi Ammi, Moulay Rchid, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Tenreiro Machado, J. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Torres, Delfim F. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vellaisamy, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA EPUB 9783110570632 print 9783110570816 https://doi.org/10.1515/9783110571622 https://www.degruyter.com/isbn/9783110571622 Cover https://www.degruyter.com/cover/covers/9783110571622.jpg |
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Almeida, Ricardo, Almeida, Ricardo, Atanacković, Teodor M., Atanacković, Teodor M., Gorenflo, Rudolf, Gorenflo, Rudolf, Hilfer, Rudolf, Hilfer, Rudolf, Kiryakova, Virginia, Kiryakova, Virginia, Kochubei, Anatoly N., Kochubei, Anatoly N., Kochubei, Anatoly, Kochubei, Anatoly, Konjik, Sanja, Konjik, Sanja, Kwaśnicki, Mateusz, Kwaśnicki, Mateusz, Luchko, Yuri, Luchko, Yuri, Luchko, Yuri, Luchko, Yuri, Mainardi, Francesco, Mainardi, Francesco, Malamud, Mark M., Malamud, Mark M., Meerschaert, Mark M., Meerschaert, Mark M., Meerschaert, Mark, Meerschaert, Mark, Nane, Erkan, Nane, Erkan, Paris, Richard B., Paris, Richard B., Pilipović, Stevan, Pilipović, Stevan, Rogosin, Sergei, Rogosin, Sergei, Scheffler, Hans Peter, Scheffler, Hans Peter, Sidi Ammi, Moulay Rchid, Sidi Ammi, Moulay Rchid, Tenreiro Machado, J. A., Tenreiro Machado, J. A., Torres, Delfim F. M., Torres, Delfim F. M., Vellaisamy, P., Vellaisamy, P., |
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Almeida, Ricardo, |
| title |
Handbook of Fractional Calculus with Applications. |
| 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 |
| title_full |
Handbook of Fractional Calculus with Applications. Volume 1, Basic Theory / ed. by Anatoly Kochubei, Yuri Luchko. |
| title_fullStr |
Handbook of Fractional Calculus with Applications. Volume 1, Basic Theory / ed. by Anatoly Kochubei, Yuri Luchko. |
| title_full_unstemmed |
Handbook of Fractional Calculus with Applications. Volume 1, Basic Theory / ed. by Anatoly Kochubei, Yuri Luchko. |
| title_auth |
Handbook of Fractional Calculus with Applications. |
| title_alt |
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_new |
Handbook of Fractional Calculus with Applications. |
| title_sort |
handbook of fractional calculus with applications. basic theory / |
| series |
De Gruyter Reference ; |
| series2 |
De Gruyter Reference ; |
| publisher |
De Gruyter, |
| publishDate |
2019 |
| physical |
1 online resource (VIII, 481 p.) |
| 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 |
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QA 3314 H36 42019 |
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