Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces

被引：3
|
作者：
Yan, Zuomao [1 ]
Zhang, Hongwu [1 ]
机构：
[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China
来源：
ANNALES POLONICI MATHEMATICI | 2014年 / 110卷 / 02期
关键词：
impulsive integro-differential inclusions; fractional partial neutral integro-differential inclusions; multi-valued map; state-dependent delay; alpha-resolvent operator; FUNCTIONAL-DIFFERENTIAL EQUATIONS;
D O I：
10.4064/ap110-2-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence of mild solutions for a class of impulsive fractional partial neutral integro-differential inclusions with state-dependent delay. We assume that the undelayed part generates an alpha-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by means of the fixed point theorem for discontinuous multi-valued operators due to Dhage and properties of the alpha-resolvent operator. An example is given to illustrate the theory.
引用
收藏
页码：143 / 169
页数：27
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