4 papers
On the singular elliptic problem involving the variable order fractional Musielak -Laplacian
Azeddine Baalal, Mohamed Berghout, El-Houcine Ouali
In this paper, we investigate the existence of positive weak solutions to a nonlocal singular elliptic problem under Dirichlet boundary condition. Problem is settled in fractional…
Theory of capacities in fracional Sobolev spaces with variable exponents
Azeddine Baalal, Mohamed Berghout
In this paper we develop a capacities theory connected with the fractional Sobolev spaces with variable exponents. Two kinds of capacities are studied: Sobolev capacity and relativ…
Some approximation properties in fractional Musielak-Sobolev spaces
Azeddine Baalal, Mohamed Berghout, EL-Houcine Ouali
In this article, we show some density properties of smooth and compactly supported functions in fractional Musielak-Sobolev spaces essentially extending the results of Fiscella, Se…
Existence of weak solutions for fractional -Laplacian Dirichlet problems with nonhomogeneous boundary conditions
Achraf El wazna, Azeddine Baalal
In this paper, we consider the existence of solutions of the following nonhomogeneous fractional -Laplacian Dirichlet problem: \begin{equation*} \left\{\begin{aligned} \Big…