4 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…