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
收藏
页码：463 / 475
页数：13
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