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Journals / Journal of Universal Mathematics / 2018 / To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc.

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

Khalid HİLAL, Karim GUİDA, Lahcen IBNELAZYZ, Mohamed OUKESSOU

Pages
293–311
DOI
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Abstract

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.