Bi-spatial and Wong-Zakai approximations dynamics for fractional stochastic reaction-diffusion equations on Rn

This paper is concerned about the bi-spatial dynamics of the stochastic reaction- diffusion equations driven by a Wong-Zakai approximation process on the entire space Rn. We obtain the existence of pullback random (L2(Rn), L-p(R-n))-attractor and (L-2(R-n), H-s(R-n))-attractor for any p > 2, 0 < s < 1. In addition, we further prove the upper semi-continuity of these attractors of the approximate random equation under the topology of Lp(Rn) and Hs(Rn) as the size of approximation tends to zero.