Fractional Differential Inclusions with Non Instantaneous Impulses and Multivalued Jump

Mouffak Benchohra, Mehdi Slimane

Abstract


This paper is devoted to study the existence of solutions for a class of fractional differential inclusions with non instantaneous impulses and multivalued jump 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


Differential inclusions; Caputo fractional derivative; impulses; multivalued jump; measure of noncompactness; fixed point; Banach space

Full Text:

PDF


DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1430