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

被引：13
|
作者：
Xia, Zhinan [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Liuhe Rd 288, Hangzhou 310023, Zhejiang, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2017年 / 67卷 / 01期
基金：
中国国家自然科学基金;
关键词：
impulsive fractional integro-differential equation; pseudo almost periodicity; probability density; fractional powers of operator; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.21136/CMJ.2017.0398-15
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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
收藏
页码：123 / 141
页数：19
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