井冈山大学学报（自然科学版）2025，Vol.46Issue(2)：9-19,11.DOI:10.3969/j.issn.1674-8085.2025.02.002
无界域上一类分数阶随机Plate方程随机吸引子的存在性
THE EXISTENCE OF THE RANDOM ATTRACTOR FOR A CLASS OF FRACTIONAL PLATE EQUATION OVER UNBOUNDED DOMAINS
摘要
Abstract
In this paper,we investigate the existence of random attractors for a class of non-autonomous fractional stochastic plate equations over unbounded domains.By introducing definitions of the fractional derivatives and fractional Sobolev spaces,the original problem is transformed into a deterministic system with random parameters.Utilizing the concepts of pullback asymptotic compactness and pullback absorbing sets,the paper discusses uniform estimates of the solutions,tail estimates,and the compactness of the solutions.A rigorous proof is provided for the existence of a unique pullback attractor in the phase space for this system.关键词
分数阶随机Plate方程/随机动力系统/随机吸引子/加性噪声Key words
fractional stochastic plate equation/random dynamical system/random attractor/additive noise分类
数学引用本文复制引用
蒲武军..无界域上一类分数阶随机Plate方程随机吸引子的存在性[J].井冈山大学学报（自然科学版）,2025,46(2):9-19,11.基金项目
甘肃省自然科学基金项目(25JRRK002) （25JRRK002）
陇南市科技计划项目(2021-SZ-13) （2021-SZ-13）
