Mittag-Leffler Functions, Related Topics and Applications
portes grátis
Mittag-Leffler Functions, Related Topics and Applications
Mainardi, Francesco; Kilbas, Anatoly A.; Gorenflo, Rudolf; Rogosin, Sergei
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
10/2020
540
Dura
Inglês
9783662615492
15 a 20 dias
992
Descrição não disponível.
Preface.- Introduction.- Overview on the Mittag-Leffler funtion.- Classical Mittag-Laffler function.- Two-parametric Mittag-Leffler functions with three parameters.- Multi-index and multi-variable Mittag-Leffler functions. - The Classical Wright function. - Applications to solution of fractional order equations. - Applications to deterministic models.- Applications to stochastic models. - Appendix A. The Eulerian functions.- Appendix B. Basic of Entire Functions.- Appendix C. Integral transforms.- Appendix D. Mellin-Barnes integral. - Appendix E. Elements of Fractional Calculus.- Appendix F. Higher transcendental functions.- References.- Index.
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33E12, 26A33, 34A08, 45K05, 44Axx, 60G22;Mittag-Leffler functions and generalizations;fractional calculus;fractional order equations;integral transforms;mathematical modeling
Preface.- Introduction.- Overview on the Mittag-Leffler funtion.- Classical Mittag-Laffler function.- Two-parametric Mittag-Leffler functions with three parameters.- Multi-index and multi-variable Mittag-Leffler functions. - The Classical Wright function. - Applications to solution of fractional order equations. - Applications to deterministic models.- Applications to stochastic models. - Appendix A. The Eulerian functions.- Appendix B. Basic of Entire Functions.- Appendix C. Integral transforms.- Appendix D. Mellin-Barnes integral. - Appendix E. Elements of Fractional Calculus.- Appendix F. Higher transcendental functions.- References.- Index.
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