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

Authors : Khalid HİLAL, Karim GUİDA, Lahcen IBNELAZYZ, Mohamed OUKESSOU

Pages : 293-311

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Publication Date : 2018-10-24

Article Type : Research Paper

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.
Keywords : Fractional impulsive di erential equations, measure of non compactness, Darbo Sadovskii`s fixed point theorem