LEVEL OF NOISES AND LONG TIME BEHAVIOR OF THE SOLUTION FOR SPACE-TIME FRACTIONAL SPDE IN BOUNDED DOMAINS
Document Type
Article
Publication Date
1-1-2023
Publication Title
Discrete and Continuous Dynamical Systems - Series S
Abstract
In this paper we study the long time behavior of the solution to a certain class of space-time fractional stochastic equations with respect to the level λ of a noise and show how the choice of the order β ∈ (0, 1) of the fractional time derivative affects the growth and decay behavior of their solution. We consider both the cases of white noise and colored noise. Our results extend the main results in Foondun [12] to fractional Laplacian as well as higher dimensional cases.
Department
Mathematics
Volume Number
16
Issue Number
10
First Page
2559
Last Page
2588
DOI
10.3934/dcdss.2022180
Recommended Citation
Mijena, Jebessa B.; Nane, Erkan; and Negash, Alemayehu G., "LEVEL OF NOISES AND LONG TIME BEHAVIOR OF THE SOLUTION FOR SPACE-TIME FRACTIONAL SPDE IN BOUNDED DOMAINS" (2023). Faculty and Staff Works. 445.
https://kb.gcsu.edu/fac-staff/445