Fractal Dimension of Random Attractors for Non-Autonomous Fractional Stochastic Reaction-Diffusion Equations

Authors

Ji Shu School of Mathematics Sciences and V.C. & V.R. Key Lab, Sichuan Normal University, Chengdu 610068, China
Qianqian Bai School of Mathematics Sciences and V.C. & V.R. Key Lab, Sichuan Normal University, Chengdu 610068, China
Xin Huang Department of Basic Courses, Sichuan Vocational College of Finance and Economics, Chengdu 610101, China
Jian Zhang School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China

DOI:

https://doi.org/10.4208/jpde.v33.n4.4

Keywords:

Random dynamical system, random attractor, fractal dimension, fractional reaction-diffusion equation, multiplicative noise.

Abstract

This paper deals with non-autonomous fractional stochastic reaction-diffusion equations driven by multiplicative noise with $s \u2208 (0,1).$ We first present some\u00a0 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.<\/p>"

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Published

2020-08-04

Issue

Vol. 33 No. 4 (2020)

Section

Articles