In this paper, we study a Dirichlet problem for a fractional heat equation, with spacial
fractional derivative in the sense of Riemann–Liouville on a finite interval. The main ideas of …

In this note, we define an operator on a space of Itô processes, which we call Caputo-Itô
derivative, then we considerer a Cauchy problem for a stochastic fractional differential …

We consider the stochastic nonlinear pseudoparabolic equations on the half-line with
Dirichlet noise boundary conditions. We establish the local existence and uniqueness of the …

This work is devoted to examining the uniqueness and existence of kinetic solutions for a
class of scalar conservation laws involving a nonlocal super-critical diffusion operator and a …

We study an initial-boundary value problem for an-dimensional stochastic diffusion equation
with fractional Laplacian on R+ n. In order to prove existence and uniqueness, we …