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

Author:

Deif Sarah A.ORCID,de Oliveira E. Capelas

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference30 articles.

1. Special matrix functions: characteristics, achievements and future directions;Abdalla;Linear Multilinear Algebra,2018

2. Computing the matrix Mittag-Leffler function with applications to fractional calculus;Garrappa;J. Sci. Comput.,2018

3. On the matrix Mittag–Leffler function: Theoretical properties and numerical computation;Popolizio;Mathematics,2019

4. The Prabhakar or three-parameter Mittag-Leffler function: Theory and application;Garra;Commun. Nonlinear Sci. Num. Simulat.,2018

5. Theorem for series in three-parameter Mittag-Leffler function;Soubhia;Frac. Cal. Appl. Anal.,2010

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1. On some relations in the class of multi-index Mittag-Leffler functions;Integral Transforms and Special Functions;2023-08-18

2. On some estimates and asymptotic formulae in the class of multi-index Mittag-Leffler functions;APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’22): Proceedings of the 48th International Conference “Applications of Mathematics in Engineering and Economics”;2023

3. SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS;Fractals;2022-11-17

4. RESULTS ON BUILDING FRACTIONAL MATRIX DIFFERENTIAL EQUATION SYSTEMS USING A CLASS OF BLOCK MATRICES;Fractals;2022-11-14

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