Existence of Mild Solutions for an Impulsive Fractional Integro-differential Equations with Non-local Condition

Abstract

In this paper we are interested in studying the existence of solutions for a controlled impulsive fractional evolution equations. We use several tools such as fractional calculus, fixed point theorems and the theory of semigroup. We first give some preliminaries and notations, the second part of the work we provide an existence result for our problem and in the final section, we give some examples to show the importance of our results.

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