Open AccessWong-Zakai approximations and pathwise dynamics of stochastic fractional lattice systems
Author(s) -
YiJu Chen,
Xiaohu Wang,
Kenan Wu
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2022059
Subject(s) - mathematics , uniqueness , multiplicative noise , multiplicative function , attractor , pullback attractor , random walk , nonlinear system , lattice (music) , white noise , mathematical analysis , statistical physics , computer science , physics , statistics , signal transfer function , digital signal processing , quantum mechanics , acoustics , analog signal , computer hardware
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.