Existence Results for an Impulsive Fractional Integro-Differential Equations with a Non-compact Semigroup

Abstract

In this paper we study a fractional differential equations problem with not instantaneous impulses involving a non-compact semigroup. We present some concepts and facts about the strongly continuous semigroup and the measure of noncompactness. After that we give an existence theorem of our problem using a condensing operator and the measure of noncompactness.

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