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Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Reaction-diffusion Equations |
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| Authors: | Qianqian Bai Ji Shu Xin Huang & Jian Zhang |
| Institution: | School of Mathematics Sciences and V.C.& V.R.Key Lab, Sichuan Normal University, Chengdu 610068, China;Department of Basic Courses, Sichuan Vocational College of Finance and Economics, Chengdu 610101, China;School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China |
| Abstract: | This paper dealswith 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. |
| Keywords: | Random dynamical system random attractor fractal dimension fractional reaction-diffusion equation multiplicative noise |
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