M. Srati

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math.AP2025

On Fractional Anisotropic Musielak-Sobolev Spaces with Applications to Nonlocal Eigenvalue Problems

Mohammed Srati

In this paper, we introduce and study a new class of fractional modular function spaces, called \emph{Fractional Anisotropic Musielak--Sobolev Spaces}, which generalize both the fr…

math.AP2024

Nonlocal double phase Neumann and Robin problem with variable $s (\cdot, \cdot) -$ order

Mohammed Srati

In this paper, we develop some properties of the $a_{x, y} (\cdot)$ -Neumann derivative for the nonlocal $s (\cdot, \cdot)$ -order operator in fractional Musielak-Sobolev spaces with var…

math.AP2024

Eigenvalue type problem in $s (., .)$ -fractional Musielak-Sobolev spaces

E. Azroul, A. Benkirane, M. Srati

In this paper, first we introduce the $s (., .)$ -fractional Musielak-Sobolev spaces $W^{s (x, y)} L_{Φ_{x, y}} (I^c ◯)$ . Next, by means of Ekeland's variational principal, we show that…

On Fractional Anisotropic Musielak-Sobolev Spaces with Applications to Nonlocal Eigenvalue Problems

Nonlocal double phase Neumann and Robin problem with variable s(⋅,⋅)−order

Eigenvalue type problem in s(.,.)-fractional Musielak-Sobolev spaces

Nonlocal double phase Neumann and Robin problem with variable $s (\cdot, \cdot) -$ order

Eigenvalue type problem in $s (., .)$ -fractional Musielak-Sobolev spaces