Stability results on mild solution of impulsive neutral fractional stochastic integro-differential equations involving Poisson jumps

Abstract

This work studies the existence and $\overline{p}$-th moment asymptotic stability of the mild solution of some neutral fractional stochastic integro-differential equations involving non-instantaneous impulses and Poisson jumps. Sufficient conditions proving existence and asymptotic stability of solutions are obtained utilizing stochastic analysis, resolvent operator and Krasnoselskii-Schaefer type fixed point theorem.