宁夏大学学报（自然科学版）2025，Vol.46Issue(1)：1-6,6.
时空白噪声驱动的分数阶偏微分方程的平均原理
Averaging Principle for a Class of Nonlinear Stochastic Fractional Partial Differential Equations
摘要
Abstract
Considering that the long-term effects of small noise disturbances can lead to significant characteris-tics in stochastic systems,an averaging principle for stochastic fractional partial differential equations driven by space-time white noise and the Cauchy conditions was established in this paper.First,by utilizing the properties of space-time white noise and the characteristics of fractional differential operators with respect to spatial vari-ables,it is proved that the solution process of the stochastic fractional partial differential equations converge to the solution process of the averaged systems in the mean square sense.Finally,numerical examples are pro-vided to verify the correctness of the averaging principle.关键词
分数阶偏微分方程/时空白噪声/随机平均原理Key words
fractional differential equations/space-time white noise/stochastic averaging principle分类
数学引用本文复制引用
岳红格,许勇..时空白噪声驱动的分数阶偏微分方程的平均原理[J].宁夏大学学报（自然科学版）,2025,46(1):1-6,6.基金项目
宁夏自然科学基金资助项目(NZ2024AAC03003) （NZ2024AAC03003）
国家自然科学基金资助项目(12072264) （12072264）
