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 …

The paper deals with the logarithmic fractional equations with variable exponents (− Δ) p 1
(·) s 1 (·)(u)+(− Δ) p 2 (·) s 2 (·)(u)+| u| p‾ 1 (x)− 2 u+| u| p‾ 2 (x)− 2 u= λ b (x)| u| α (x)− 2 u+ μ a …

We consider the non-local equations with non-negative L 1-data in the fractional Musielak–
Sobolev spaces. Utilizing approximation and energy methods, we establish the existence …

This paper is concerned with the existence result of a sequence of infinitely many small
energy solutions to the fractional r (·)-Laplacian equations of Kirchhoff–Schrödinger type …

In this paper, we study fractional p 1 (x,⋅) & p 2 (x,⋅)-Laplacian Schrödinger-type equations
for Robin boundary conditions. Under some suitable assumptions, we show that two …

This paper deals with the existence and multiplicity of weak solutions for the following
Kirchhoff‐type problem M∬ ℝ 2 N 1 p (x, y)| u (x)− u (y)| p (x, y)| x− y| N+ s (x, y) p (x, y) dxdy …