Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces

被引：0

作者：

Zhinan Xia

机构：

[1] Zhejiang University of Technology,Department of Applied Mathematics

来源：

Czechoslovak Mathematical Journal | 2017年 / 67卷

关键词：

impulsive fractional integro-differential equation; pseudo almost periodicity; probability density; fractional powers of operator; 34A37; 26A33; 34C27;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, for the impulsive fractional integro-differential equations involving Caputo fractional derivative in Banach space, we investigate the existence and uniqueness of a pseudo almost periodic PC-mild solution. The working tools are based on the fixed point theorems, the fractional powers of operators and fractional calculus. Some known results are improved and generalized. Finally, existence and uniqueness of a pseudo almost periodic PC-mild solution of a two-dimensional impulsive fractional predator-prey system with diffusion are investigated.

引用

页码：123 / 141

页数：18

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