TY - JOUR
T1 - Fractal Dimension of Random Attractors for Non-Autonomous Fractional Stochastic Reaction-Diffusion Equations
AU - Shu , Ji
AU - Bai , Qianqian
AU - Huang , Xin
AU - Zhang , Jian
JO - Journal of Partial Differential Equations
VL - 4
SP - 377
EP - 394
PY - 2020
DA - 2020/08
SN - 33
DO - http://doi.org/10.4208/jpde.v33.n4.4
UR - https://global-sci.org/intro/article_detail/jpde/17864.html
KW - Random dynamical system, random attractor, fractal dimension, fractional reaction-diffusion equation, multiplicative noise.
AB - <p style="text-align: justify;">This paper deals with non-autonomous fractional stochastic reaction-diffusion equations driven by multiplicative noise with $s ∈ (0,1).$ We first present some&nbsp; conditions for estimating the boundedness of fractal dimension of a random invariant set. Then we establish the existence and uniqueness of tempered pullback random attractors. Finally, the finiteness of fractal dimension of the random attractors is proved.</p>