Moment bounds for a class of fractional stochastic heat equations

Mohammud Foondun, Wei Liu, McSylvester Omaba

We consider fractional stochastic heat equations of the form $\frac{\partial u_t(x)}{\partial t}=-(-\Delta {)}^{\alpha /2}{u}_t(x)+\lambda \sigma (u_t(x))\dot{F}(t,x)$. Here $\dot{F}$ denotes the noise te…