Stability of impulsive Hilfer fractional integrodifferential stochastic systems with Poisson jump via measure of non-compactness

:In this paper, the existence of solutions and the stability results are derived for impulsive Hilfer fractional integrodifferential stochastic systems (IDSSs) with Poisson jumps in Rn space. The main results are obtained by using fractional calculus, stochastic analysis approach, and measure of non-compactness (MNC) via M o¨ nch fixed point technique for the first time in the literature to the finite dimensional space. For the stability result, boundedness properties of Mittag-Leffler (M-L) function is effectively used. Two numerical examples are given for verification of theoretical results.