12 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AP2023
A new class of multiple nonlocal problems with two parameters and variable-order fractional -Laplacian
Mohamed Karim Hamdani, Lamine Mbarki, Mostafa Allaoui
In the present manuscript, we focus on a novel tri-nonlocal Kirchhoff problem, which involves the -fractional Laplacian equations of variable order. The problem is stated as…
math.AP2023
A degenerate Kirchhoff-type problem involving variable -order fractional -Laplacian with weights
Mostafa Allaoui, Mohamed Karim Hamdani, Lamine Mbarki
This paper deals with a class of nonlocal variable -order fractional -Kirchhoff type equations: \begin{eqnarray*} \left\{ \begin{array}{ll} \mathcal{K}\left(\int_{\math…
math.AP2022★ 12 cited
Existence and multiplicity of solutions involving the -Laplacian equations: On the effect of two nonlocal terms
M. K. Hamdani, L. Mbarki, M. Allaoui +2
We study a class of -Kirchhoff problems which is seldom studied because the nonlinearity has nonstandard growth and contains a bi-nonlocal term. Based on variational methods,…