In this work, four problems for stochastic fractional pseudo-parabolic containing bounded
and unbounded delays are investigated. The fractional derivative and the stochastic noise …

We consider the strong convergence of the numerical methods for solving stochastic
subdiffusion problem driven by an integrated space-time white noise. The time fractional …

This paper derives the weak-sense Gaussian solution to a family of fractional-in-time and
multifractional-in-space stochastic partial differential equations, driven by fractional …

On the distribution and q-variation of the solution to the heat equation with fractional Laplacian
Page 1 Accepted manuscript PROBABILITY AND MATHEMATICAL STATISTICS Vol. 0, Fasc …

This study is concerned with the space–time fractional stochastic heat-type equations driven
by multiplicative noise, which can be used to model the anomalous heat diffusion in porous …

Consider non-linear time-fractional stochastic reaction-diffusion equations of the following
type,∂ t β ut (x)=− ν (− Δ) α/2 ut (x)+ I 1− β b (u)+ σ (u) F⋅(t, x) ∂^ β _ t u_ t (x)=-ν (-Δ)^ α/2 …

In this paper we consider a class of nonlinear fractional stochastic heat equation∂∂ tu (t,
x)= D δ α u (t, x)+ σ (u (t, x)) W˙(t, x),(t, x)∈[0, T]× R, in (1+ 1)-dimension with T> 0, where D δ …

In this paper, we study estimates on tail probabilities of several classes of subordinators
under mild assumptions on the tails of their Lévy measures. As an application of that result …

In this work, we consider an initial boundary-value problem for a stochastic evolution
equation with fractional Laplacian and white noise on the first quadrant. To construct the …

We consider non-linear time-fractional stochastic heat type equation∂ β u∂ t β+ ν (− Δ) α/2
u= I t 1− β [∫ R d σ (u (t, x), h) N~⋅(t, x, h)] and∂ β u∂ t β+ ν (− Δ) α/2 u= I t 1− β [∫ R d σ (u …