Global attracting set of stochastic differential equations with unbounded delay driven by fractional Ornstein-Uhlenbeck process

In this paper, we have studied stochastic differential equations with unbounded delay in fractional power spaces perturbed by fractional Ornstein-Uhlenbeck process Y-H,Y-xi(t) with H is an element of(1/2 , 1). Subsequently, the existence and uniqueness of mild solution of the considered equation have been proved with fixed-point theorem. Finally, we obtain the global attracting set of the considered equations by some stochastic analysis and inequality technique.