Impulsive Problems for Fractional Partial Neutral Functional Integro-Differential Inclusions with Infinite Delay and Analytic Resolvent Operators

被引：13

作者：

Yan, Zuomao ^{[1
]}

Jia, Xiumei ^{[1
]}

机构：

[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2014年 / 11卷 / 02期

关键词：

Impulsive integro-differential inclusions; fractional partial neutral integro-differential inclusions; analytic alpha-resolvent operator; infinite delay; fixed point theorem; EXISTENCE; EQUATIONS; CONTROLLABILITY;

D O I：

10.1007/s00009-013-0349-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of mild solutions for a class of impulsive fractional partial neutral functional integro-differential inclusions with infinite delay and analytic alpha-resolvent operators in Banach spaces is investigated. Sufficient conditions for the existence are derived with the help of the fixed-point theorem for discontinuous multi-valued operators due to Dhage and the fractional power of operators combined with approximation techniques. An example is provided to illustrate the theory.

引用

页码：393 / 428

页数：36

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