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

摘要

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.