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math.PR2018
Remarks on a fractional-time stochastic equation
Mohammud Foondun
We consider a class of fractional time stochastic equation defined on a bounded domain and show that the presence of the time derivative induces a significant change in the qualita…
math.PR2018
Spatial asymptotics and strong comparison principle for some fractional stochastic heat equations
Mohammud Foondun, Eulalia Nualart
Consider the following stochastic heat equation, \begin{align*} \frac{\partial u_t(x)}{\partial t}=-ν(-Δ)^{α/2} u_t(x)+σ(u_t(x))\dot{F}(t,\,x), \quad t>0, \; x \in R^d. \end{align*…