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

Key Points

• To establish the upper semicontinuity of pullback random attractors in the context of fractional nonclassical diffusion equations.
• Analyzed fractional nonclassical diffusion equations on ℝ n
• Investigated effects of additive noise and time delay
• Utilized Fourier space to manage the nonlocal term
• Upper semicontinuity was established as noise intensity approaches zero
• Upper semicontinuity was confirmed as time delay approaches zero
• Method differs from previous literature by not introducing new variables