Open AccessDynamics of fractional nonclassical diffusion equations with delay driven by additive noise on $ \mathbb{R}^n $
Author(s) -
Pengyu Chen,
Bixiang Wang,
Xuping Zhang
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021267
Subject(s) - noise (video) , attractor , mathematics , pullback , compact space , pullback attractor , diffusion , intensity (physics) , mathematical analysis , physics , computer science , quantum mechanics , artificial intelligence , image (mathematics)
In this paper, we study the asymptotic behavior of solutions of fractional nonclassical diffusion equations with delay driven by additive noise defined on unbounded domains. We first prove the uniform compactness of pullback random attractors of the equation with respect to noise intensity and time delay, and then establish the upper semi-continuity of these attractors as either noise intensity or time delay approaches zero.