7 citations · 7 across the 6 of their papers we have counts for
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Space-time fractional SPDEs with locally Lipschitz coefficients: well-posedness
Ngartelbaye Guerngar, Erkan Nane
In this article, we study the space-time SPDE where is defined for …
Propagation of high peaks for the space-time fractional stochastic partial differential equations
Ngartelbaye Guerngar, Erkan Nane
We study the space-time nonlinear fractional stochastic heat equation driven by a space-time white noise, \begin{align*} \partial_t^βu(t,x)=-(-Δ)^{α/2}u(t,x)+I_t^{1-β}\Big[σ(u(t,x)…
Moment bounds of a class of stochastic heat equations driven by space-time colored noise in bounded domains
Ngartelbaye Guerngar, Erkan Nane
We consider the fractional stochastic heat type equation \begin{align*} \frac{\partial}{\partial t} u_t(x)=-(-Δ)^{α/2}u_t(x)+ξσ(u_t(x))\dot{F}(t,x),\ \ \ x\in D, \ \ t>0, \end{alig…
Some properties of non-linear fractional stochastic heat equations on bounded domains
Mohammud Foondun, Ngartelbaye Guerngar, Erkan Nane
Consider the following stochastic partial differential equation, \begin{equation*} \partial_t u_t(x)= \mathcal{L}u_t(x)+ ξσ(u_t(x)) \dot F(t,x), \end{equation*} where is a posi…