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

被引：3

作者：

Li, Chenkuan ^{[1
]}

Beaudin, Joshua ^{[1
]}

Rahmoune, Azedine ^{[2
]}

Remili, Walid ^{[2
]}

机构：

[1] Brandon Univ, Dept Math & Comp Sci, Brandon, MB R7A 6A9, Canada

[2] Univ Mohamed El Bachir El Ibrahimi Bordj Bou Arrer, Fac Math & Informat, Dept Math, El Anasser 34030, Algeria

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Banach's contractive principle; matrix Mittag-Leffler function; Babenko's approach; implicit integral equation;

D O I：

10.3390/fractalfract7090651

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11

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