A Study of Sobolev Type Fractional Impulsive Differential Systems with Fractional Nonlocal Conditions

Abstract

In this paper, we study the existence and uniqueness of mild solutions for Sobolev type fractional impulsive differential systems with fractional order nonlocal conditions by applying monotone iterative technique coupled with the method of lower and upper solutions. The sufficient conditions are obtained by measure of noncompactness and generalized Gronwall inequality. Finally, an application is given to illustrate the obtained results.