Analysis of impulsive psi-Hilfer fractional integro- differential system

Abstract

The $\check{\psi}$-Hilfer fractional integro-differential equation sensitive to instantaneous impulses is studied in this research. Establishing the presence and uniqueness of its solution is the main objective. In particular, the existence of a unique solution is investigated using the fixed point theorems, Banach's and Krasnoselskii's. An example is provided to demonstrate the obtained outcome.