Some new result for functional fractional differential inclusion with impulse effect

Abstract

Nonlocal functional fractional differential inclusions with impulses effect in Banach spaces are studied. This paper deals with the case when the multivalued function is lower semicontinuous and nonconvex as well as the linear term generates a semigroup which is not,in general, compact. Our results are obtained by using NCHM (noncompactness Hausdorff measure), multivalued properties and theorems of fixed point. We finally present an example to lighten our results.