Existence of mild solution for a class of coupled systems of neutral fractional integro-differential equations with infinite delay in Banach space

被引：7

作者：

Liu, Juqing ^{[1
]}

Zhao, Kaihong ^{[2
]}

机构：

[1] Yuxi Normal Univ, Sch Math & Informat Technol, Yuxi, Peoples R China

[2] Kunming Univ Sci & Technol, Dept Appl Math, Kunming, Yunnan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Coupled system of neutral fractional integro-differential equations; Infinite delay; Existence of mild solution; Fixed point theorem; FUNCTIONAL-DIFFERENTIAL EQUATIONS;

D O I：

10.1186/s13662-019-2232-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with a class of coupled systems of neutral fractional integro-differential equations with infinite delay in a Banach space in this paper. Based on the Banach contraction principle and Krasnoselskii's fixed point theorem, some new sufficient criteria are established to guarantee the existence of mild solutions. As an application, an example is given to illustrate the effectiveness of our main results.

引用

页数：15

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