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

页码：143 / 169

页数：27

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