Open Access
Research Article·pp. 1–10·Online FirstJul 2026
Iqbal Jebril, Zoubir Dahmani, Lynda Marouf
Published Online: 01 Jul 2026DOI: 10.47974/JIM-2459 In this paper: We study mathematical perturbed equations that can be used to describe how learner motivation, engagement, and proficiency develop together in English as a Foreign Language (EFL) contexts. The basic s...
Open Access
Research Article·pp. 1–18·Online FirstJun 2026
Mohamed Bezziou, Zoubir Dahmani
Published Online: 08 Jun 2026DOI: 10.47974/JIM-2405 In this paper: In this paper, we study the existence, uniqueness and stability in the sense of Ulam-Hyers Mittag-Leffler approach for a particular class of nonlinear coupled systems of Caputo fractional differential...
Open Access
Research Article·pp. 1–15·Online FirstJun 2026
Mohammed Kaid, Chaimaa Kahlallou, Zoubir Dahmani
Published Online: 02 Jun 2026DOI: 10.47974/JIM-2483 In this paper: We examine the solution to problem fractional with respect derivatives of Caputo. Our approach is mainly based on fractional calculus, particularly fractional derivatives and integrals, together with...
Open Access
Research Article·pp. 1–10·Online FirstMay 2026
Iqbal Jebril, Zoubir Dahmani
Published Online: 26 May 2026DOI: 10.47974/JIM-2430 In this paper: This paper investigates the dynamics of a nonlinear elastic beam governed by a space-fractional differential equation of Caputo type, where the fractional order lies in the range z ∈ (3,4). A small pa...
Open Access
Research Article·pp. 1–21·Online FirstMar 2026
Kamel Tablennehas, Iqbal Jebril, Zoubir Dahmani, Ahmed Anber, Abdelakader Lamamri
Published Online: 24 Mar 2026DOI: 10.47974/JIM-2234 In this paper: We study a class of three parameters-sequential integro-differential problem of Lane-Emden type with anti periodic conditions. We begin by presenting some results of existence and uniqueness, by appli...
Open Access
Research Article·pp. 1–16·Online FirstMar 2026
Ahmed Anber, Zoubir Dahmani
Published Online: 24 Mar 2026DOI: 10.47974/JIM-2386 In this paper: In this paper, an extension in a general x-space for the (G¢/G)-method is used to find new traveling wave solutions for a version of the time-space fractional Zakharov Kuznetsov equation (FZKE, for sh...
Open Access
Research Article·pp. 1335–1354·Vol. 28, Issue 4Jun 2025
Ouafaa Benhamida, Zoubir Dahmani
Published Online: 05 May 2025DOI: 10.47974/JIM-1781 In this paper: The aim of this work is in using Mittag-Leffler functions to study a new type of Langevin problems. We shall study the question of existence of unique solutions for a new type of fractional Langevin t...
Open Access
Research Article·pp. 1355–1365·Vol. 28, Issue 4Jun 2025
Ahmed Anber, Zoubir Dahmani, Iqbal Jebril
Published Online: 05 May 2025DOI: 10.47974/JIM-1787 In this paper: In this paper, we apply the U-expansion method to finding new traveling wave solutions for two important classes of nonlinear fractional differential equations. The efficiency of this method is illust...
Open Access
Research Article·pp. 473–484·Vol. 28, Issue 2Mar 2025
Zakaria Bekkouche, Hafssa Yfrah, Zoubir Dahmani
Published Online: 15 Mar 2025DOI: 10.47974/JIM-1784 In this paper: This paper deals with a new class of nonlinear coupled fractional differential equations with Caputo derivative. The existence and uniqueness of the solution is treated using the Banach mapping princi...
Open Access
Research Article·pp. 1361–1370·Vol. 27, Issue 6Sep 2024
Ahmed Anber, Zoubir Dahmani, Mehmet Zeki Sarikaya
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1788 In this paper: The conformable fractional derivatives in the sense of Khalil is considered and the Homotopy analysis method and the (G’/G)-Expansion method are applied to solve the Klein-Gordon equation; new approxi...
Open Access
A·pp. 145–161·Vol. 26, Issue 2Mar 2023
Ameth Ndiaye, Yazid Gouari, Zoubir Dahmani
Published Online: 01 Mar 2023DOI: 10.47974/JIM-1231 In this paper: We study a nonlinear singular differential equation of Lane Emden type. The problem used the Caputo derivatives and Riemann-Liouville integrals. We first prove an existence and uniqueness result. Anot...
Open Access
Article·pp. 59–73·Vol. 11, Issue 1-2Nov 2013
Soumia Belarbi, Zoubir Dahmani
Published Online: 01 Nov 2013DOI: 10.1080/1726037X.2013.838448 In this paper: In this paper, we study a boundary value problem of nonlinear fractional differential equations of order α, 3 < α