A system of Cauchy fractional differential equations and new properties of Mittag-Leffler functions with matrix argument

DOI10.1016/j.cam.2021.113977OpenAlexW4200393593WikidataQ115359647 ScholiaQ115359647MaRDI QIDQ2074886

Sarah A. Deif, Edmundo Capelas de Oliveira

Publication date: 11 February 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113977

zbMATH Keywords

Laplace transformconditioningfractional calculusgeneralized Mittag-Leffler functionsPrabhakar derivative

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Perturbations of ordinary differential equations (34D10) Mittag-Leffler functions and generalizations (33E12) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

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SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS, RESULTS ON BUILDING FRACTIONAL MATRIX DIFFERENTIAL EQUATION SYSTEMS USING A CLASS OF BLOCK MATRICES, On some relations in the class of multi-index Mittag-Leffler functions

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