NDLI: Asymptotic Autonomy of Attractors for Stochastic Fractional Nonclassical Diffusion Equations Driven by a Wong

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Asymptotic Autonomy of Attractors for Stochastic Fractional Nonclassical Diffusion Equations Driven by a Wong–Zakai Approximation Process on $ℝ^{n}$

Content Provider	MDPI
Author	Li, Hong Li, Fuzhi
Copyright Year	2022
Description	In this paper, we consider the backward asymptotically autonomous dynamical behavior for fractional non-autonomous nonclassical diffusion equations driven by a Wong–Zakai approximations process in $Hs(Rn)$ with $s\in(0,1)$ . We first prove the existence and backward time-dependent uniform compactness of tempered pullback random attractors when the growth rate of nonlinearities have a subcritical range. We then show that, under the Wong–Zakai approximations process, the components of the random attractors of a non-autonomous dynamical system in time can converge to those of the random attractor of the limiting autonomous dynamical system in $Hs(Rn)$ .
Starting Page	310
e-ISSN	25043110
DOI	10.3390/fractalfract6060310
Journal	Fractal and Fractional
Issue Number	6
Volume Number	6
Language	English
Publisher	MDPI
Publisher Date	2022-06-01
Access Restriction	Open
Subject Keyword	Fractal and Fractional Mathematical Physics Fractional Nonclassical Diffusion Equation Wong–zakai Approximations Random Attractor Asymptotically Autonomous
Content Type	Text
Resource Type	Article

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