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

Zhenghui GaoDepartment of Mathematics and Computational Science, Hengyang Normal University, Hengyang, ChinaYang LiuDepartment of Mathematics and Computational Science, Hengyang Normal University, Hengyang, ChinaGang LiuDepartment of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China
2013en
ABI

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.

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