Boundary value problems driven by fractional operators has drawn the attention of several
researchers in the last decades due to its applicability in several areas of Science and …

The paper is devoted to the study of singularly perturbed fractional Schrödinger equations
involving critical frequency and critical growth in the presence of a magnetic field. By using …

In this article we are interested in the following fractional $ p $-Laplacian equation in
$\mathbb {R}^ n $\begin {eqnarray*} & (-\Delta) _ {p}^{\alpha} u+ V (x) u^{p-2} u= f (x …

This work aims to develop the variational framework for some Kirchhoff problems involving
both the pp‐Laplace operator and the ψ ψ‐Hilfer derivative. Precisely, we use the mountain …

This paper is concerned with the following fractional Schrödinger–Poisson system:{(− Δ) α
u+ V λ (x) u+ μ ϕ u= f (x, u)+ β (x)| u| ν− 2 u in R 3,(− Δ) t ϕ= u 2 in R 3, where μ> 0 is a …

In this article, we study some class of fractional boundary value problem involving
generalized Riemann Liouville derivative with respect to a function and the p-Laplace …

In this paper, we first consider the spectrum of the fractional Schrödinger operator (− Δ) s+ V
(x) on RN, where s∈(0, 1) and V (x) be continuous, periodic in x. Using a new nonlocal …

In this work, we develop some variational settings related to some singular p-Kirchhoff
problems involving the ψ-Hilfer fractional derivative. More precisely, we combine the …

In this article, we prove the existence, multiplicity and concentration of non-trivial solutions
for the following indefinite fractional elliptic equation with concave-convex …

In this article, we are interested in the non-linear Schrödinger equation with non-local
regional diffussion where f is a super-linear sub-critical function, is a variational version of …