UNIQUENESS OF THE PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

被引：4

作者：

Li, Chenkuan ^{[1
]}

机构：

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

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2021年 / 33卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

partial Riemann-Liouville fractional integral; Banach's fixed point theorem; Babenko's approach; Mittag-Leffler function; gamma function;

D O I：

10.1216/jie.2021.33.463

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the uniqueness of solutions for certain partial integro-differential equations with the initial conditions in a Banach space. The results derived are new and based on Babenko's approach, convolution and Banach's contraction principle. We also include several examples for the illustration of main theorems.

引用

页码：463 / 475

页数：13

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