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

• 作 者: JING Yuanyuan LI Zhi XU Liping
• 机 构: School of Information and Mathematics,Yangtze University,Jingzhou 434023,China
• 出 处: 偏微分方程（英文版）
• 发表日期: 2021年1期
• 关键词: Averaging principle Stochastic fractional partial differential equation fraction

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.