Approximate solutions for stochastic time-fractional reaction-diffusion equations with multiplicative noise

In this paper, we consider the approximate solutions of time-fractional reaction-diffusion equations forced by multiplicative noise on a bounded domain. When the diffusion is large, one can approximate the solutions of the stochastic time-fractional reaction-diffusion equations with polynomial term by the solutions of a stochastic time-fractional ordinary equations. We illustrate our results by applying to time-fractional logistic and time-fractional Ginzburg-Landau equations.

Automated summary

This paper considers the approximate solutions of time-fractional reaction-diffusion equations forced by multiplicative noise on a bounded domain. When the diffusion is large, the solutions of the stochastic time-fractional reaction-diffusion equations with polynomial term can be approximated by the solutions of a stochastic time-fractional ordinary equations. Our results are illustrated by applying to time-fractional logistic and time-fractional Ginzburg-Landau equations.