19 citations · 21 across the 9 of their papers we have counts for
9 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…
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…
Density properties for fractional Musielak-Sobolev spaces
EL-Houcine Ouali, Azeddine Baalal, Mohamed Berghout
In this paper, we introduce a new fractional Musielak-Sobolev space where is an open subset in RN and we show some density properties of smooth and compactly suppo…
A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics
Maha Daoud, El-Haj Laamri, Azeddine Baalal
In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of . The…
On the Continuous embeddings between the fractional Hajłasz-Orlicz-Sobolev spaces
Azeddine Baalal, Mohamed Berghout, EL-Houcine Ouali
Let be an Orlicz function and let be positive real numbers. Under certain conditions on the Orlicz function , we establish some continuous embeddings results be…
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…
Trace and extension operators for fractional Sobolev spaces with variable exponent
Azeddine Baalal, Mohamed Berghout
We show that, under certain regularity assumptions, there exists a linear extension operator.
Dirichlet Problem for Coupled Elliptic Systems
Azeddine Baalal, Mohamed Berghout
Let be a bounded domain in pretty regular. We solve the variational Dirichlet problem for a class of quasi-linear elliptic systems.