63 citations · 146 across the 11 of their papers we have counts for
12 papers
A Novel Hyperchaotic System Derived from Asymmetric Bidirectional Coupling of Two Lorenz Oscillators: Synchronization Analysis and Cryptographic Applications
Mimoun Hamdi, Mohamed Karim Hamdani, Kamel Abboudi
This paper investigates a six-dimensional coupled Lorenz system obtained through bidirectional asymmetric diffusive coupling of two identical Lorenz oscillators. The proposed model…
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…
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…
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,…
Existence and multiplicity of solutions for polyharmonic elliptic Kirchhoff type equations without Ambrosetti-Rabinowitz conditions
Mohamed Karim Hamdani, Abdellaziz Harrabi
In this paper, we prove the existence of infinitely many solutions for a class of quasilinear elliptic -polyharmonic Kirchhoff equations where the nonlinear function has a qu…
New class of sixth-order nonhomogeneous -Kirchhoff problems with sign-changing weight functions
M. K. Hamdani, N. T. Chung, D. D. Repovš
We prove the existence of multiple solutions for the following sixth-order -Kirchhoff-type problem: $-M(\int_Ω\frac{1}{p(x)}|\nabla Δu|^{p(x)}dx)Δ^3_{p(x)} u = λf(x)|u|^{q(x)…
Multiplicity of solutions for a class of fractional -Kirchhoff type problems without the Ambrosetti-Rabinowitz condition
M. K. Hamdani, J. Zuo, N. T. Chung +1
We are interested in the existence of solutions for the following fractional -Kirchhoff type problem $$ \left\{\begin{array}{ll} M \, \left(\displaystyle\int_{Ω\times Ω…
A class of fractional p()-Kirchhoff type systems
Yong Wu, Zhenhua Qiao, Mohamed Karim Hamdani +2
This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional -operator. With the help of the direct variational method and Ekela…
Existence of solutions for systems arising in electromagnetism
M. K. Hamdani, D. D. Repovš
In this paper, we study the following -curl systems: \begin{eqnarray*} \begin{cases} \nabla\times(|\nabla\times \mathbf{u}|^{p(x)-2}\nabla\times \mathbf{u})+a(x)|\mathbf{u}|^…
Multiple solutions for Grushin operator without odd nonlinearity
Mohamed Karim Hamdani
We deal with existence and multiplicity results for the following nonhomogeneous and homogeneous equations, respectively: \begin{eqnarray*} (P_g)\quad - Δ_λ u + V(x) u = f(x,u)+g(x…
Existence and multiplicity results for a new -Kirchhoff problem
M. K. Hamdani, A. Harrabi, F. Mtiri +1
We study the existence and multiplicity results for the following nonlocal -Kirchhoff problem: \begin{equation} \label{10} \begin{cases} -\left(a-b\int_Ω\frac{1}{p(x)}| \nabl…
High-order Kirchhoff problems in bounded and unbounded domains
Mohamed Karim Hamdani, Abdellaziz Harrabi
Consider the following polyharmonic Kirchhoff problem: \begin{eqnarray} \label{ea} \begin{cases} M\left(\int_Ø|D_r u|^{m} +a|u|^m\right)[Δ^r_m u +a|u|^{m-2}u]= K(x)f(u) &\mbox{…