Optimal control for fractional higher order damped stochastic impulsive systems

In this manuscript, we examined the controllability and optimal control for fractional stochastic impulsive systems (SISs) with Poisson jumps in finite dimensional space. Some sufficient conditions for controllability results are obtained by using Darbo‐Sadovskii's theorem for higher order damped stochastic system. General conditions are established to study the existence of optimal control for the considered Lagrange problem (LP).