@Article{JPDE-33-377, author = {Shu , JiBai , QianqianHuang , Xin and Zhang , Jian}, title = {Fractal Dimension of Random Attractors for Non-Autonomous Fractional Stochastic Reaction-Diffusion Equations}, journal = {Journal of Partial Differential Equations}, year = {2020}, volume = {33}, number = {4}, pages = {377--394}, abstract = {

This paper deals with non-autonomous fractional stochastic reaction-diffusion equations driven by multiplicative noise with $s ∈ (0,1).$ We first present some  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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v33.n4.4}, url = {http://global-sci.org/intro/article_detail/jpde/17864.html} }