@Article{JPDE-33-4, author = {Shu, Ji and Qianqian, Bai and Xin, Huang 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 = {https://global-sci.com/article/88170/fractal-dimension-of-random-attractors-for-non-autonomous-fractional-stochastic-reaction-diffusion-equations} }