EXISTENCE RESULTS FOR AN IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH A NON-COMPACT SEMIGROUP

Öz

In this paper we study a fractional dierential 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.

Anahtar Kelimeler

• Fractional impulsive dierential equations,measure of non- compactness,Darbo-Sadovskii's fixed point theorem

Kaynakça

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