DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER WITH IMPULSE EFFECTS IN BANACH SPACES

Abstract

Impulsive fractional semilinear differential inclusions in Banach spaces are considered. We investigate the situation when the linear part generates a semigroup not required to be compact and the multivalued function is lower semicontinuous and nonconvex. Our result are obtained by using noncompactness Hausdorff measure (NCHM), multivalued properties and fixed point theorems. We finally present an example to lighten our results.