217 citations · 1.1k across the 56 of their papers we have counts for
63 papers
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)…
Pathwise Blowup of space-time fractional SPDEs
Chang-Song Deng, Wei Liu, Erkan Nane
The finite time blowup in the almost sure sense of a class of space-time fractional stochastic partial differential equations is discussed. Both the cases of white noise and colore…
Level of noises and long time behavior of the solution for space-time fractional SPDE in bounded domains
Jebessa B. Mijena, Erkan Nane, Alemayehu G. Negash
In this paper we study the long time behavior of the solution to a certain class of space-time fractional stochastic equations with respect to the level of a noise and show how…
The nonlinear fractional diffusion equations with Nagumo-type sources and perturbed orders
Nguyen Minh Dien, Erkan Nane, Dang Duc Trong
We consider a class of nonlinear fractional equations having the Caputo fractional derivative of the time variable , the fractional order of the self-adjoint positive definite u…
Finite Time Blowup of Solutions to SPDEs with Bernstein Functions of the Laplacian
Chan-Song Deng, Wei Liu, Erkan Nane
The blowup in finite time of solutions to SPDEs \begin{equation*} \partial_tu_t(x)=-ϕ(-Δ)u_t(x) +σ(u_t(x))\dotξ(t,x), \quad t>0,x\in\mathbb{R}^d, \end{equation*} { is} investigated…