TY - JOUR
T1 - The Averaging Principle for Stochastic Fractional Partial Differential Equations with Fractional Noises
AU - Jing , Yuanyuan
AU - Li , Zhi
AU - Xu , Liping
JO - Journal of Partial Differential Equations
VL - 1
SP - 51
EP - 66
PY - 2021
DA - 2021/01
SN - 34
DO - http://doi.org/10.4208/jpde.v34.n1.4
UR - https://global-sci.org/intro/article_detail/jpde/18554.html
KW - Averaging principle, Stochastic fractional partial differential equation, fractional noises.
AB - <p style="text-align: justify;">The purpose of this paper is to establish an averaging principle for stochastic fractional partial differential equation of order $α &gt; 1$ 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 $p$-moment under some suitable assumptions.</p>