Existence results for Atangana-Baleanu fractional integro-differential systems with non-instantaneous impulses

Abstract

The main aim of this manuscript is to analyze the existence of piecewise-continuous mild solution of Atangana-Baleanu fractional integro-differential systems with non-instantaneous impulses in Banach space. Based on the Banach contraction principle fixed point theorem joined with $\rho$-resolvent operators, we develop the main results. In the end, an example is given to justify the theoretical results.