Optimal controllability of non-instantaneous impulsive partial stochastic differential systems with fractional sectorial operators

Abstract

In this paper, we consider a new class of non-instantaneous impulsive partial stochastic differential systems with fractional sectorial operators in separable Hilbert spaces. Using the fractional calculus, the measure of noncompactness, properties of sectorial operators and fixed point theorems, we establish the optimal controllability to the these control systems without assuming the operators is compact. Finally, an example is provided to illustrate the obtained theory.