Handbook of Fractional Calculus with Applications, Volume 1. Basic Theory /
Berlin ;, Boston: De Gruyter, [2019]
Online
Amtliche Druckschrift, Nachschlagewerk, Sammelwerk, Teil eines Werkes, Elektronische Ressource
- 1 online resource (490 pages) : illustrations.
Zugriff:
Ermittle Ausleihstatus...
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.
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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Handbook of Fractional Calculus with Applications, Volume 1. Basic Theory /
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Verantwortlichkeitsangabe: | Anatoly Kochubei, Yuri Luchko |
Autor/in / Beteiligte Person: | Kochubei, Anatoly [editor.] ; Luchko, Yuri [editor.] |
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Veröffentlichung: | Berlin ;, Boston: De Gruyter, [2019] |
Medientyp: | Amtliche Druckschrift, Nachschlagewerk, Sammelwerk, Teil eines Werkes |
Datenträgertyp: | Elektronische Ressource |
Umfang: | 1 online resource (490 pages) : illustrations. |
ISBN: | 3-11-057162-5; 3-11-057063-7 |
DOI: | 10.1515/9783110571622 |
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