English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we study the long time behavior of the solution to a certainclass of space-time fractional stochastic equations with respect to the level$\lambda$ of a noise and show how the choice of the order $\beta \in (0, \,1)$of the fractional time derivative affects the growth and decay behavior oftheir solution. We consider both the cases of white noise and colored noise.Our results extend the main results in "M. Foondun, \textit{Remarks on afractional-time stochastic equation}, Proc. Amer. Math. Soc. 149 (2021),2235-2247" to fractional Laplacian as well as higher dimensional cases.

Level of noises and long time behavior of the solution for space-time fractional SPDE in bounded domains