21 citations · 30 across the 7 of their papers we have counts for
10 papers
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…
Critical parameters for reaction-diffusion equations involving space-time fractional derivatives
Sunday A. Asogwa, Mohammud Foondun, Jebessa B. Milena +1
We will look at reaction-diffusion type equations of the following type, We first study the equation on the whole…
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.
Strong analytic solutions of fractional Cauchy problems
Jebessa B. Mijena, Erkan Nane
Fractional derivatives can be used to model time delays in a diffusion process. When the order of the fractional derivative is distributed over the unit interval, it is useful for…