Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions

Zhenghui Gao, Liu Yang, Gang Liu

Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China.

DOI: 10.4236/am.2013.46118                

Abstract

In this article, by using Schaefer fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for a class of impulsive integro-differential equations with nonlocal conditions involving the Caputo fractional derivative.

Keywords

Caputo Fractional Derivative; Impulses; Nonlocal Conditions; Existence; Uniqueness; Fixed Point

Conflicts of Interest

The authors declare no conflicts of interest.

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