- Journal of Universal Mathematics
- Vol: 1 Issue: 3 - To memory of Prof. RNDr. Beloslav RieËcan, DrSc. Special Issue
- EXISTENCE RESULTS FOR AN IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH A NON-COMPACT SEMI...
EXISTENCE RESULTS FOR AN IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH A NON-COMPACT SEMIGROUP
Authors : Khalid Hilal, Karim Guida, Lahcen Ibnelazyz, Mohamed Oukessou
Pages : 293-311
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Publication Date : 2018-10-24
Article Type : Research
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