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

Yıl 2018, Cilt: 1 Sayı: 3 - To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc., 293 - 311, 24.10.2018

Khalid Hilal Karim Guida , Lahcen Ibnelazyz Mohamed Oukessou

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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