Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition

被引：53

作者：

Chauhan, Archana

Dabas, Jaydev ^{[1
]}

机构：

[1] IIT Roorkee, Dept Appl Sci & Engn, Saharanpur 247001, UP, India

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 04期

关键词：

Fractional differential equation; Solution operator; Mild solution; Impulsive condition; DIFFERENTIAL-EQUATIONS; UNIQUENESS;

D O I：

10.1016/j.cnsns.2013.07.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the local and global existence of mild solution for an impulsive fractional functional integro differential equations with nonlocal condition. We establish a general framework to find the mild solutions for impulsive fractional integro-differential equations, which will provide an effective way to deal with such problems. The results are obtained by using the fixed point technique and solution operator on a complex Banach space. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：821 / 829

页数：9

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