Upper semicontinuity of fractional nonclassical diffusion equations with delay and nonlocal damping driven by additive noise

The fractional nonclassical diffusion equations with delay and nonlocal damping driven by additive noise is considered on the entire space ℝ n . We mainly establish the upper semicontinuity of the pullback random attractors when noise intensity and time delay approach zero, respectively. It is worth emphasizing that we deal with the nonlocal term in Fourier space instead of introducing some new variables as in previous literatures.