Piecewise weighted pseudo almost periodicity of impulsive integro-differential equations with fractional order 1 < α < 2

被引：0
作者：
Gu, Chuan-Yun [1 ]
Li, Hong-Xu [2 ]
机构：
[1] Sichuan Univ Arts & Sci, Dept Math, Dazhou 635000, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2020年 / 14卷 / 02期
关键词：
Piecewise weighted pseudo almost periodicity; Impulsive integro-differential equations; Fractional order; Mild solution; Banach contraction mapping principle; EXISTENCE; STABILITY;
D O I：
10.1007/s43037-019-00004-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give the existence theorem of piecewise weighted pseudo almost periodic mild solutions for impulsive integro-differential equations with fractional order 1 < alpha < 2, where A is a linear closed and densely defined operator of sectorial type in a complex Banach space X. The main results are obtained by Banach contraction mapping principle. An example is given to illustrate the main results.
引用
收藏
页码：487 / 502
页数：16
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