“…The random attractors for stochastic partial equations and stochastic lattice dynamical systems have been widely discussed by many authors, see, e.g., [3,4,43,51] in the autonomous stochastic equations, and [25,28,46,49,48,50,53] in the non-autonomous case. In recent years, there are some results on random attractors for stochastic equations with the fractional Laplacian (−∆) α with α ∈ ( 1 2 , 1) and α ∈ (0, 1) in [26,27,29,31,32,33,42,44].…”