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Dynamical behavior of non-autonomous fractional stochastic reaction-diffusion equations.

Authors :
Bai, Qianqian
Shu, Ji
Li, Linyan
Li, Hui
Source :
Journal of Mathematical Analysis & Applications. May2020, Vol. 485 Issue 2, pN.PAG-N.PAG. 1p.
Publication Year :
2020

Abstract

In this paper, we investigate the asymptotic behavior of solutions for the non-autonomous fractional stochastic reaction-diffusion equations driven by multiplicative noise with s ∈ (0 , 1). We prove the existence and uniqueness of tempered pullback random attractors for the equations in a bounded domain U by the compactness of Sobolev embedding H s (U) ↪ L 2 (U) , which is different from the previous work [46]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0022247X
Volume :
485
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
141437343
Full Text :
https://doi.org/10.1016/j.jmaa.2019.123833