http://depot.umc.edu.dz/handle/123456789/9208 2026-06-01T15:17:56Z http://depot.umc.edu.dz/handle/123456789/14615 Analyse de la stabilité et diagnostic du chaos dans les systèmes dynamiques discrets avec applications. BENTOUIL Asma; BENKHELIFA Hadil; ZERIMECHE Hadjer The objective of this work is to study discrete dynamical systems, introducing fundamental concepts such as stability, bifurcation, and chaos. We will then apply these concepts to a discrete-time predator-prey system with a Holling type-II functional response and prey refuge. Our study will analyze the stability and bifurcation of equilibrium points in this system. Finally, we will determine if this system exhibits chaotic behavior using Lyapunov exponents. 2024-01-01T00:00:00Z http://depot.umc.edu.dz/handle/123456789/14614 Méthode d’approximation pour quelques problèmes dépendants du temps Azzi Aïda; Hayoun Rayene This work provides insight into the application of the Galerkin method for solving two boundary value problems. The first problem deals with bidimensional linear Schrödinger parabolic partial differential equations, and the second concerns a onedimensional hyperbolic telegraph equation. The differential equations are reduced to systems of algebraic equations. This study demonstrates that the proposed method is a very effective and powerful tool for solving such problems numerically. At the end, the method was tested on illustrative examples given in Maple for each problem. 2024-01-01T00:00:00Z http://depot.umc.edu.dz/handle/123456789/14613 Étude Qualitative de quelques Problèmes à Valeurs Initiales pour des Equations Différentielles d’ordre Fractionnaire Messaoudi Milad; Ferhat Takoua The present work is basically devoted to study the existence and uniqueness of solutions for certain classes of nonlinear fractional differential equations with initial conditions via the ψ−Caputo fractional derivative with order α ∈ (0;1). To achieve these goals, we first transform our main problems into an equivalent fractional integral equation. After that, based on some fixed point theorems namely, Banach’s fixed point theorem combined with the ψ- fractional Bielecki norm, Schauder’s fixed point theorem, and Krasnoselskii’s fixed point theorem, the existence, and uniqueness of solutions to the proposed problems are discussed theoretically. Furthermore, examples are presented to illustrate our theoretical findings. 2022-01-01T00:00:00Z http://depot.umc.edu.dz/handle/123456789/14612 La distribution Exponentielle-Gamma (3,θ) et ses applications ZIGHEM Chanez; GHESMOUNE Safa; BENFERDI Chaima Statistical distributions are widely applied to describe di§erent real world phenomena. As a result of the usefulness of statistical distributions, many researchers have studied their theory extensively and new distributions are developed. The quest for developing more e¢ cient and áexible probability distribution still remain strong in the Öeld of probability theory and statistics. In this memoir, we introduce a probability distribution called ExponentialGamma distribution (3; ) and derive appropriate expressions for its statistical properties. 2023-01-01T00:00:00Z