ADDRESSING IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH CAPUTO-FABRIZIO VIA MONOTONE ITERATIVE TECHNIQUE IN BANACH SPACES

Abstract

In this paper, we investigate the existence of solutions for initial value problems of the impulsive integro-differential for fractional differential equations involving Caputo-Fabrizio fractional derivatives in Banach spaces. Under some monotonicity conditions together with the measure of noncompactness, the existence of extremal solutions between lower and upper solutions are proved.