A Matrix Mittag–Leffler Function and the Fractional Nonlinear Partial Integro-Differential Equation in ℝn-Reference-Cited by-同舟云学术

A Matrix Mittag–Leffler Function and the Fractional Nonlinear Partial Integro-Differential Equation in ℝn

Published:2023-08-26 Issue:9 Volume:7 Page:651
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Li Chenkuan¹^ORCID,Beaudin Joshua¹^ORCID,Rahmoune Azedine²^ORCID,Remili Walid²^ORCID

Affiliation:

1. Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada

2. Department of Mathematics, Faculty of Mathematics and Informatics, University Mohamed El Bachir El Ibrahimi of Bordj Bou Arreridj, El Anasser 34030, Algeria

Abstract

In this paper, we introduce the matrix Mittag–Leffler function, which is a generalization of the multivariate Mittag–Leffler function, in order to investigate the uniqueness of the solutions to a fractional nonlinear partial integro-differential equation in Rn with a boundary condition based on Banach’s contractive principle and Babenko’s approach. In addition, we present an example demonstrating applications of the key results derived using a Python code that computes the approximate value of our matrix Mittag–Leffler function.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/9/651/pdf

Reference9 articles.

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

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