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In this paper, we study the asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise. The considered systems are driven by the fractional discrete Laplacian, which features the infinite-range interactions. We first prove the existence of pullback random attractor in $ \ell^2 $ for stochastic lattice systems. The upper semicontinuity of random attractors is also established when the intensity of noise approaches zero. [ABSTRACT FROM AUTHOR]

The regularity of random attractors is considered for the non-autonomous fractional stochastic FitzHugh-Nagumo system. We prove that the system has a pullback random attractor that is compact in Hs(ℝn) × L2(ℝn) and attracts all tempered random sets of L2(ℝn) × L2(ℝn) in the topology of Hs(ℝn) × L2(ℝn) with s ∈ (0, 1). By the idea of positive and negative truncations, spectral decomposition in bounded domains, and tail estimates, we achieved the desired results. [ABSTRACT FROM AUTHOR]