21 citations · 30 across the 7 of their papers we have counts for
8 papers · 1 filter
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…
Blow-up results for space-time fractional stochastic partial differential equations
Sunday Asogwa, Jebessa B. Mijena, Erkan Nane
Consider non-linear time-fractional stochastic reaction-diffusion equations of the following type, $$\partial^β_tu_t(x)=-ν(-Δ)^{α/2} u_t(x)+I^{1-β}_t[b(u)+ σ(u)\stackrel{\cdot}{F}(…
Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains
Mohammud Foondun, Jebessa Mijena, Erkan Nane
In this paper we study non-linear noise excitation for the following class of space-time fractional stochastic equations in bounded domains: $$\partial^β_tu_t(x)=-ν(-Δ)^{α/2} u_t(x…
Intermittence and time fractional stochastic partial differential equations
Jebessa B. Mijena, Erkan Nane
We consider time fractional stochastic heat type equation in dimensions, where , $β\…
Space-time fractional stochastic partial differential equations
Jebessa B. Mijena, Erkan Nane
We consider non-linear time-fractional stochastic heat type equation in dimensions, where…
Correlation structure of time-changed fractional Brownian motion
Jebessa B. Mijena
Fractional Brownian motion (fBm) is a centered self-similar Gaussian process with stationary increments, which depends on a parameter called the Hurst index. The use…
Correlation structure of time-changed Pearson diffusions
Jebessa B. Mijena, Erkan Nane
The stochastic solution to diffusion equations with polynomial coefficients is called a Pearson diffusion. If the time derivative is replaced by a distributed fractional derivative…
Two-term trace estimates for relativistic stable processes
Rodrigo Bañuelos, Jebessa Mijena, Erkan Nane
We prove trace estimates for the relativistic -stable process extending the result of Bañuelos and Kulczycki (2008) in the stable case.