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)…