Existence results for fractional integro-differential equation with infinite delay and impulsive effects

The existence of an Atangana-Baleanu fractional impulsive functional differential system [ABFIFDS] with infinite delay and impulsive effects are investigated in this paper. Utilizing a solution operator and traditional fixed-point theorems like Banach contraction principle, the existence and uniqueness results are achieved. Finally, an example is presented to illustrate the theoretical findings.