Handbook of Fractional Calculus with Applications. / Volume 2, : Fractional Differential Equations / / 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 second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differentia...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
| Year of Publication: | 2019 |
| Language: | English |
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| Physical Description: | 1 online resource (VIII, 519 p.) |
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Handbook of Fractional Calculus with Applications. Volume 2, Fractional Differential Equations / ed. by Anatoly Kochubei, Yuri Luchko. Berlin ; Boston : De Gruyter, [2019] ©2019 1 online resource (VIII, 519 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Reference ; Volume 2 Frontmatter -- Preface -- Contents -- General theory of Caputo-type fractional differential equations -- Problems of Sturm–Liouville type for differential equations with fractional derivatives -- Maps with power-law memory: direct introduction and Eulerian numbers, fractional maps, and fractional difference maps -- Symmetries and group invariant solutions of fractional ordinary differential equations -- Operational method for fractional ordinary differential equations -- Lyapunov-type inequalities for fractional boundary value problems -- Fractional-parabolic equations and systems. Cauchy problem -- Time fractional diffusion equations: solution concepts, regularity, and long-time behavior -- Layer potentials for the time-fractional diffusion equation -- Fractional-hyperbolic equations and systems. Cauchy problem -- Equations with general fractional time derivatives–Cauchy problem -- User’s guide to the fractional Laplacian and the method of semigroups -- Parametrix methods for equations with fractional Laplacians -- Maximum principle for the time-fractional PDEs -- Wave equation involving fractional derivatives of real and complex fractional order -- Symmetries, conservation laws and group invariant solutions of fractional PDEs -- Fractional Duhamel principle -- Inverse problems of determining sources of the fractional partial differential equations -- Inverse problems of determining parameters of the fractional partial differential equations -- Inverse problems of determining coefficients of the fractional partial differential equations -- Abstract linear fractional evolution equations -- Abstract nonlinear fractional evolution equations -- 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 second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations. 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 Aleroev, Temirkhan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Aleroeva, Hedi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Atanacković, Teodor M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Diethelm, Kai, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Edelman, Mark, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gazizov, Rafail K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jleli, Mohamed, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kasatkin, Alexey A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kemppainen, Jukka, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kirane, Mokhtar, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Knopova, Victoria P., 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 Kulik, Alexei M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Li, Zhiyuan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Liu, Yikan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lizama, Carlos, 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 Lukashchuk, Stanislav Yu., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pilipović, Stevan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Samet, Bessem, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stinga, Pablo Raúl, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Umarov, Sabir, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Yamamoto, Masahiro, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zacher, Rico, 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 9783110571059 print 9783110570823 https://doi.org/10.1515/9783110571660 https://www.degruyter.com/isbn/9783110571660 Cover https://www.degruyter.com/cover/covers/9783110571660.jpg |
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Aleroev, Temirkhan, Aleroev, Temirkhan, Aleroeva, Hedi, Aleroeva, Hedi, Atanacković, Teodor M., Atanacković, Teodor M., Diethelm, Kai, Diethelm, Kai, Edelman, Mark, Edelman, Mark, Gazizov, Rafail K., Gazizov, Rafail K., Jleli, Mohamed, Jleli, Mohamed, Kasatkin, Alexey A., Kasatkin, Alexey A., Kemppainen, Jukka, Kemppainen, Jukka, Kirane, Mokhtar, Kirane, Mokhtar, Knopova, Victoria P., Knopova, Victoria P., Kochubei, Anatoly N., Kochubei, Anatoly N., Kochubei, Anatoly, Kochubei, Anatoly, Konjik, Sanja, Konjik, Sanja, Kulik, Alexei M., Kulik, Alexei M., Li, Zhiyuan, Li, Zhiyuan, Liu, Yikan, Liu, Yikan, Lizama, Carlos, Lizama, Carlos, Luchko, Yuri, Luchko, Yuri, Luchko, Yuri, Luchko, Yuri, Lukashchuk, Stanislav Yu., Lukashchuk, Stanislav Yu., Pilipović, Stevan, Pilipović, Stevan, Samet, Bessem, Samet, Bessem, Stinga, Pablo Raúl, Stinga, Pablo Raúl, Umarov, Sabir, Umarov, Sabir, Yamamoto, Masahiro, Yamamoto, Masahiro, Zacher, Rico, Zacher, Rico, |
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Aleroev, Temirkhan, Aleroev, Temirkhan, Aleroeva, Hedi, Aleroeva, Hedi, Atanacković, Teodor M., Atanacković, Teodor M., Diethelm, Kai, Diethelm, Kai, Edelman, Mark, Edelman, Mark, Gazizov, Rafail K., Gazizov, Rafail K., Jleli, Mohamed, Jleli, Mohamed, Kasatkin, Alexey A., Kasatkin, Alexey A., Kemppainen, Jukka, Kemppainen, Jukka, Kirane, Mokhtar, Kirane, Mokhtar, Knopova, Victoria P., Knopova, Victoria P., Kochubei, Anatoly N., Kochubei, Anatoly N., Kochubei, Anatoly, Kochubei, Anatoly, Konjik, Sanja, Konjik, Sanja, Kulik, Alexei M., Kulik, Alexei M., Li, Zhiyuan, Li, Zhiyuan, Liu, Yikan, Liu, Yikan, Lizama, Carlos, Lizama, Carlos, Luchko, Yuri, Luchko, Yuri, Luchko, Yuri, Luchko, Yuri, Lukashchuk, Stanislav Yu., Lukashchuk, Stanislav Yu., Pilipović, Stevan, Pilipović, Stevan, Samet, Bessem, Samet, Bessem, Stinga, Pablo Raúl, Stinga, Pablo Raúl, Umarov, Sabir, Umarov, Sabir, Yamamoto, Masahiro, Yamamoto, Masahiro, Zacher, Rico, Zacher, Rico, |
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Aleroev, Temirkhan, |
| title |
Handbook of Fractional Calculus with Applications. |
| spellingShingle |
Handbook of Fractional Calculus with Applications. De Gruyter Reference ; Frontmatter -- Preface -- Contents -- General theory of Caputo-type fractional differential equations -- Problems of Sturm–Liouville type for differential equations with fractional derivatives -- Maps with power-law memory: direct introduction and Eulerian numbers, fractional maps, and fractional difference maps -- Symmetries and group invariant solutions of fractional ordinary differential equations -- Operational method for fractional ordinary differential equations -- Lyapunov-type inequalities for fractional boundary value problems -- Fractional-parabolic equations and systems. Cauchy problem -- Time fractional diffusion equations: solution concepts, regularity, and long-time behavior -- Layer potentials for the time-fractional diffusion equation -- Fractional-hyperbolic equations and systems. Cauchy problem -- Equations with general fractional time derivatives–Cauchy problem -- User’s guide to the fractional Laplacian and the method of semigroups -- Parametrix methods for equations with fractional Laplacians -- Maximum principle for the time-fractional PDEs -- Wave equation involving fractional derivatives of real and complex fractional order -- Symmetries, conservation laws and group invariant solutions of fractional PDEs -- Fractional Duhamel principle -- Inverse problems of determining sources of the fractional partial differential equations -- Inverse problems of determining parameters of the fractional partial differential equations -- Inverse problems of determining coefficients of the fractional partial differential equations -- Abstract linear fractional evolution equations -- Abstract nonlinear fractional evolution equations -- Index |
| title_full |
Handbook of Fractional Calculus with Applications. Volume 2, Fractional Differential Equations / ed. by Anatoly Kochubei, Yuri Luchko. |
| title_fullStr |
Handbook of Fractional Calculus with Applications. Volume 2, Fractional Differential Equations / ed. by Anatoly Kochubei, Yuri Luchko. |
| title_full_unstemmed |
Handbook of Fractional Calculus with Applications. Volume 2, Fractional Differential Equations / ed. by Anatoly Kochubei, Yuri Luchko. |
| title_auth |
Handbook of Fractional Calculus with Applications. |
| title_alt |
Frontmatter -- Preface -- Contents -- General theory of Caputo-type fractional differential equations -- Problems of Sturm–Liouville type for differential equations with fractional derivatives -- Maps with power-law memory: direct introduction and Eulerian numbers, fractional maps, and fractional difference maps -- Symmetries and group invariant solutions of fractional ordinary differential equations -- Operational method for fractional ordinary differential equations -- Lyapunov-type inequalities for fractional boundary value problems -- Fractional-parabolic equations and systems. Cauchy problem -- Time fractional diffusion equations: solution concepts, regularity, and long-time behavior -- Layer potentials for the time-fractional diffusion equation -- Fractional-hyperbolic equations and systems. Cauchy problem -- Equations with general fractional time derivatives–Cauchy problem -- User’s guide to the fractional Laplacian and the method of semigroups -- Parametrix methods for equations with fractional Laplacians -- Maximum principle for the time-fractional PDEs -- Wave equation involving fractional derivatives of real and complex fractional order -- Symmetries, conservation laws and group invariant solutions of fractional PDEs -- Fractional Duhamel principle -- Inverse problems of determining sources of the fractional partial differential equations -- Inverse problems of determining parameters of the fractional partial differential equations -- Inverse problems of determining coefficients of the fractional partial differential equations -- Abstract linear fractional evolution equations -- Abstract nonlinear fractional evolution equations -- Index |
| title_new |
Handbook of Fractional Calculus with Applications. |
| title_sort |
handbook of fractional calculus with applications. fractional differential equations / |
| series |
De Gruyter Reference ; |
| series2 |
De Gruyter Reference ; |
| publisher |
De Gruyter, |
| publishDate |
2019 |
| physical |
1 online resource (VIII, 519 p.) |
| contents |
Frontmatter -- Preface -- Contents -- General theory of Caputo-type fractional differential equations -- Problems of Sturm–Liouville type for differential equations with fractional derivatives -- Maps with power-law memory: direct introduction and Eulerian numbers, fractional maps, and fractional difference maps -- Symmetries and group invariant solutions of fractional ordinary differential equations -- Operational method for fractional ordinary differential equations -- Lyapunov-type inequalities for fractional boundary value problems -- Fractional-parabolic equations and systems. Cauchy problem -- Time fractional diffusion equations: solution concepts, regularity, and long-time behavior -- Layer potentials for the time-fractional diffusion equation -- Fractional-hyperbolic equations and systems. Cauchy problem -- Equations with general fractional time derivatives–Cauchy problem -- User’s guide to the fractional Laplacian and the method of semigroups -- Parametrix methods for equations with fractional Laplacians -- Maximum principle for the time-fractional PDEs -- Wave equation involving fractional derivatives of real and complex fractional order -- Symmetries, conservation laws and group invariant solutions of fractional PDEs -- Fractional Duhamel principle -- Inverse problems of determining sources of the fractional partial differential equations -- Inverse problems of determining parameters of the fractional partial differential equations -- Inverse problems of determining coefficients of the fractional partial differential equations -- Abstract linear fractional evolution equations -- Abstract nonlinear fractional evolution equations -- Index |
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Q - Science |
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QA314 |
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QA 3314 H36 42019 |
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https://doi.org/10.1515/9783110571660 https://www.degruyter.com/isbn/9783110571660 https://www.degruyter.com/cover/covers/9783110571660.jpg |
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510 - Mathematics |
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Cauchy problem -- </subfield><subfield code="t">Equations with general fractional time derivatives–Cauchy problem -- </subfield><subfield code="t">User’s guide to the fractional Laplacian and the method of semigroups -- </subfield><subfield code="t">Parametrix methods for equations with fractional Laplacians -- </subfield><subfield code="t">Maximum principle for the time-fractional PDEs -- </subfield><subfield code="t">Wave equation involving fractional derivatives of real and complex fractional order -- </subfield><subfield code="t">Symmetries, conservation laws and group invariant solutions of fractional PDEs -- </subfield><subfield code="t">Fractional Duhamel principle -- </subfield><subfield code="t">Inverse problems of determining sources of the fractional partial differential equations -- </subfield><subfield code="t">Inverse problems of determining parameters of the fractional partial differential equations -- </subfield><subfield code="t">Inverse problems of determining coefficients of the fractional partial differential equations -- </subfield><subfield code="t">Abstract linear fractional evolution equations -- </subfield><subfield code="t">Abstract nonlinear fractional evolution equations -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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 second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Fractional calculus.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Gebrochene Analysis.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Mathematical Analysis.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Aleroev, Temirkhan, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Aleroeva, Hedi, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Atanacković, Teodor M., </subfield><subfield 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