In this study, fractional stochastic pseudo-parabolic equations driven by fractional Brownian
motion are investigated. This work aims at establishing existence, uniqueness, regularity …

Solutions of a direct problem for a stochastic pseudo-parabolic equation with fractional
Caputo derivative are investigated, in which the non-linear space-time-noise is assumed to …

We consider fractional stochastic heat equations of the form ∂u_t(x)∂t=-(-
Δ)^α/2u_t(x)+λσ(u_t(x))̇F(t,x). Here, ̇F denotes the noise term. Under suitable …

In this paper we study the linear stochastic heat equation, also known as parabolic
Anderson model, in multidimension driven by a Gaussian noise which is white in time and it …

In recent years, many researchers have been working on designing stabilizers in different
technological areas such as surface design for controlling aircraft, voltage regulators in …

We consider a class of a fractional-time stochastic equation defined on a bounded domain
and show that the presence of the time derivative induces a significant change in the …

In this work we design an explicit random deterministic, finite-dimensional stabilizing
boundary feedback to the null solution for the heat equation with noise perturbation. The …

Various effects of the noise intensity upon the solution u (t, x) of the stochastic heat equation
with Dirichlet boundary conditions on [0, 1] are investigated. We show that for small noise …

The study of intermittency for the parabolic Anderson problem usually focuses on the
moments of the solution which can describe the high peaks in the probability space. In this …

In this paper, we obtain upper and lower bounds for the moments of the solution to a class of
fractional stochastic heat equations on the ball driven by a Gaussian noise which is white in …