Correct solvability of Volterra integrodifferential equations in Hilbert space

Nonlinear Functional Integrodifferential Equations in Hilbert Space

Let X be a Hilbert space and let Ω ⊂ Rn be a bounded domain with smooth boundary ∂Ω. We establish the existence and norm estimation of solutions for the parabolic partial functional integro-differential equation in X by using the fundamental solution.

On Some Fractional Stochastic Integrodifferential Equations in Hilbert Space

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.

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.

Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay