The Averaging Principle for Stochastic Fractional Partial Differential Equations with Fractional Noises

• 作者: JING Yuanyuan LI Zhi XU Liping
• 来源期刊: 偏微分方程（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 51-66
• 页数: 16页
• 分类号: O211
• 语种: 英文
• DOI: 10.4208/jpde.v34.n1.4

摘要

The purpose of this paper is to establish an averaging principle for stochas-tic fractional partial differential equation of order α＞1 driven by a fractional noise.We prove the existence and uniqueness of the global mild solution for the considered equation by the fixed point principle.The solutions for SPDEs with fractional noises can be approximated by the solution for the averaged stochastic systems in the sense of ρ-moment under some suitable assumptions.