We study the two-dimensional stochastic nonlinear wave equation (SNLW) and stochastic
nonlinear heat equation (SNLH) with a quadratic nonlinearity, forced by a fractional …

In this article, we consider the stochastic wave and heat equations driven by a Gaussian
noise which is spatially homogeneous and behaves in time like a fractional Brownian motion …

We investigate the synchronization problem of fractional‐order chaotic systems with input
saturation and unknown external disturbance by means of adaptive fuzzy control. An …

We consider the linear stochastic wave equation with spatially homogeneous Gaussian
noise, which is fractional in time with index H> 1/2. We show that the necessary and …

This paper studies the linear stochastic partial differential equation of fractional orders both
in time and space variables, where is a general Gaussian noise and,. The existence and …

In this article, we will prove the existence, uniqueness and Hölder regularity of the solution to
the fractional stochastic partial differential equation of the form ∂ ∂ tu (t, x)= D (x, D) u (t, x)+ …

In this paper we study the existence of a unique solution to a general class of Young delay
differential equations driven by a Hölder continuous function with parameter greater that 1/2 …

This book is an introduction to the theory of stochastic partial differential equations (SPDEs),
using the random field approach pioneered by JB Walsh (1986). The volume consists of two …

We consider the stochastic wave equation with multiplicative noise, which is fractional in
time with index H> 1/2, and has a homogeneous spatial covariance structure given by the …

In this article, we study the stochastic wave equation in arbitrary spatial dimension $ d $, with
a multiplicative term of the form $\sigma (u)= u $, also known in the literature as the …