In this work, we establish some abstract results on the perspective of the fractional Musielak–
Sobolev spaces, such as: uniform convexity, Radon–Riesz property with respect to the …

We establish interior and up to the boundary Hölder regularity estimates for weak solutions
of the Dirichlet problem for the fractional g− Laplacian with bounded right hand side and g …

In this article we study eigenvalues and minimizers of a fractional non-standard growth
problem. We prove several properties on these quantities and their corresponding …

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, with …

This paper seeks to introduce a new class of fractional Orlicz-Sobolev space with variable-
order. We give basic properties of this space and prove some compactness results. Then …

In the present paper, we deal with a new continuous and compact embedding theorems for
the fractional Orlicz-Sobolev spaces, also, we study the existence of infinitely many nontrivial …

In the first part of this article we deal with the existence of at least three non-trivial weak
solutions of a nonlocal problem with nonstandard growth involving a nonlocal Robin type …

In this paper, we first introduce the new fractional Musielak-Sobolev spaces, and we
establish some qualitative properties of these spaces. Then, using the direct variational …

This paper deals with new continuous and compact embedding theorems for the fractional
Musielak-Sobolev spaces in R d. As an application, using the variational methods, we obtain …

In this paper, we are concerned with some qualitative properties of the new fractional
Musielak–Sobolev spaces W s L Φ x, y such that the generalized Poincaré type inequality …