Second Order Stochastic Partial Integro Differential Equations with Delay and Impulses

Abstract

This paper manages the approximate controllability of second order neutral stochastic partial integro differential equations with infinite delay and non-instantaneous impulses. The results are acquired by employing Sadovskii's fixed point approach and firmly persistent cosine family of operators. A set of adequate stipulations for the approximate controllability of second order neutral stochastic partial integro differential equations with non-instantaneous impulses are provided beneath the situation that the relating linear system is approximately controllable. Further, an application is proposed to represent the acquired results.