Wong-Zakai approximations and pathwise dynamics of stochastic fractional lattice systems-Reference-Cited by-同舟云学术

Wong-Zakai approximations and pathwise dynamics of stochastic fractional lattice systems

Published:2022 Issue:8 Volume:21 Page:2529
ISSN:1534-0392
Container-title:Communications on Pure and Applied Analysis
language:
Short-container-title:CPAA

Author:

Chen Yiju¹,Wang Xiaohu¹,Wu Kenan¹

Affiliation:

1. Department of Mathematics, Sichuan University, Chengdu, Sichuan 610065, China

Abstract

<p style='text-indent:20px;'>This paper is concerned with the pathwise dynamics of stochastic fractional lattice systems driven by Wong-Zakai type approximation noises. The existence and uniqueness of pullback random attractor are established for the approximate system with a wide class of nonlinear diffusion term. For system with linear multiplicative noise and additive white noise, the upper semicontinuity of random attractors for the corresponding approximate system are also proved when the step size of the approximation approaches zero.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

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