Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces

Authors : Mouffak BENCHOHRA, Mehdi SLİMANE

Pages : 36-47

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Publication Date : 2019-04-30

Article Type : Research Paper

Abstract :This paper is devoted to study the existence of solutions for a class of fractional differential inclusions with non instantaneous impulses involving the Caputo fractional derivative in a Banach space. The arguments are based upon M\`{o}nch`s fixed point theorem and the technique of measures of noncompactness.
Keywords : Inclusions, impulses, Caputo fractional derivative, measure of noncompactness, fixed point