Linear stochastic evolution equations in Hilbert space

On Some Fractional Stochastic Integrodifferential Equations in Hilbert Space

On stochastic fractional Volterra equations in Hilbert space

In this paper, stochastic Volterra equations, particularly fractional, in Hilbert space are studied. Sufficient conditions for mild solutions to be strong solutions are provided. Several examples of Volterra equations having strong solutions are given, as well.

Stochastic Volterra Equations of Nonscalar Type in Hilbert Space

In the paper stochastic Volterra equations of nonscalar type in Hilbert space are studied. The aim of the paper is to provide some results on stochastic convolution and mild solutions to those Volterra equations. The motivation of the paper comes from a model of aging viscoelastic materials. The pseudo-resolvent approach is used.

Linear-quadratic Control for Stochastic Equations in a Hilbert Space with Fractional Brownian Motions

Controllability of Semilinear Stochastic Delay Evolution Equations in Hilbert Spaces

The controllability of semilinear stochastic delay evolution equations is studied by using a stochastic version of the well-known Banach fixed point theorem and semigroup theory. An application to stochastic partial differential equations is given. 1. Introduction. The fixed point technique is widely used as a tool to study the controllability of nonlinear systems in finite-and infinite-dimensi...