Fractal Dimension of Random Attractors for Non-Autonomous Fractional Stochastic Reaction-Diffusion Equations
Year: 2020
Author: Ji Shu, Qianqian Bai, Xin Huang, Jian Zhang
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n4.4
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 4 : pp. 377–394
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Random dynamical system random attractor fractal dimension fractional reaction-diffusion equation multiplicative noise.