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Nonlocal problems with Neumann and Robin boundary condition in fractional Musielak-Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Srati
In this paper, we develop some properties of the -Neumann derivative for the fractional -Laplacian operator. Therefore we prove the basic proprieties of the…
Embedding and extension results in Fractional Musielak-Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Shimi +1
In this paper, we are concerned with some qualitative properties of the new fractional Musielak-Sobolev spaces such that the generalized Poincaré type inequa…
Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Srati
In this paper, we investigate the existence of weak solution for a fractional type problems driven by a nonlocal operator of elliptic type in a fractional Orlicz-Sobolev space, wit…
Existence of solutions for a nonlocal Kirchhoff type problem in Fractional Orlicz-Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Srati +1
In this paper, we investigate the existence of weak solution for a Kirchhoff type problem driven by a nonlocal operator of elliptic type in a fractional Orlicz-Sobolev space, with…
Introduction to fractional Orlicz-Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Srati
In this paper, we define the fractional Orlicz-Sobolev spaces, and we prove some important results of these spaces. The main result is to show the continuous and compact embedding…