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

Affiliation(s)

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

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

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.

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

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

Cite this paper

Z. Gao, L. Yang and G. Liu, "Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions,"*Applied Mathematics*, Vol. 4 No. 6, 2013, pp. 859-863. doi: 10.4236/am.2013.46118.

Z. Gao, L. Yang and G. Liu, "Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions,"

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