The Averaging Principle for Stochastic Fractional Partial Differential Equations with Fractional Noises
Year: 2021
Author: Yuanyuan Jing, Zhi Li, Liping Xu
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 51–66
Abstract
The purpose of this paper is to establish an averaging principle for stochastic 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 $p$-moment under some suitable assumptions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n1.4
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 51–66
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Averaging principle Stochastic fractional partial differential equation fractional noises.