217 citations · 1.1k across the 56 of their papers we have counts for
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Path stability of the solution of stochastic differential equation driven by time-changed Lévy noises
Erkan Nane, Yinan Ni
This paper studies path stabilities of the solution to stochastic differential equations (SDE) driven by time-changed Lévy noise. The conditions for the solution of time-changed SD…
Some non-existence results for a class of stochastic partial differential equations
Mohammud Foondun, Wei Liu, Erkan Nane
Consider the following stochastic partial differential equation, \begin{equation*} \partial_t u_t(x)= \mathcal{L}u_t(x)+ σ(u_t(x))\dot F(t,x)\quad{t>0}\quad\text{and}\quad x\in R^d…
Stochastic solutions of Conformable fractional Cauchy problems
Yucel Cenesiz, Ali Kurt, Erkan Nane
In this paper we give stochastic solutions of conformable fractional Cauchy problems. The stochastic solutions are obtained by running the processes corresponding to Cauchy problem…
Inverse source problem for time fractional diffusion with discrete random noise
Tuan Nguyen Huy, Erkan Nane
In this paper, we deal with the inverse source problem of determining a source in a time fractional diffusion equation where data are given at a fixed time. This problem is ill-pos…
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…
Stability of stochastic differential equation driven by time-changed Lévy noise
Erkan Nane, Yinan Ni
This paper studies stabilities of stochastic differential equation (SDE) driven by time-changed Lévy noise in both probability and moment sense. This provides more flexibility in m…