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...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.展开更多
基金The authors would like to thank the reviewers for their helpful comments.This work was partially supported by the National Natural Science Foundation of China(11871138)joint research project of Laurent Mathematics Center of Sichuan Normal UniversityNational-Local Joint Engineering Laboratory of System Credibility Automatic Verification,funding of V.C.&V.R.Key Lab of Sichuan Province.
文摘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.
