• Solutions périodiques d'une équation de Riccati généralisée 

  TOUAILIA, LINA (University of Guelma, 2025)

  The intention of this memoir is to analyze the relationship between the dynamics of limit cycles in planar di¤erential systems ( _ x = P (x; y) _ y = Q (x; y)) and the analytical properties of generalized Riccati equations. ...
• Solutions périodiques de certaines classes d'équations différentielles perturbées 

  TALBI, Hana (University of Guelma, 2025)

  In this work, we consider the limit cycles of a class of polynomial differential systems of the form {<K1.1/>┊ <K1.1 ilk="MATRIX" > u=v-ε(g₁¹(u)+f₁¹(u)v)-ε²(g₁²(u)+f₁²(u)v), v=-u-ε(g₂¹(u)+f₂¹(u)v)-ε²(g₂²(u)+f₂²(u)v), ...
• Traitement numérique par différence finie des équations intégro-différentielles avec retard 

  BELHIRECHE, Nor el houda (University of Guelma, 2025)

  n this thesis, we study a particular class of nonlinear Volterra integrodifferential equations with delay. Such equations are used to model dynamic phenomena that depend on the system’s history as well as a delayed term. ...
• Shooting method for boundary value problems in ordinary differential equations 

  BENABDELHAFID, BOUTHEYNA (University of Guelma, 2025)

  This study employs the one-dimensional shooting method to numerically solve a boundary value problem (BVP) governed by an ordinary differential equation (ODE). Such BVPs arise in diverse scientific and engineering domains, ...
• L'étude de l'éxistence et la discipline des états fondamentaux de condensats de Bose -Einstien 

  MENASRIA, ABDEL MAMOUNE (University of Guelma, 2025)

  This thesis focuses on the existence and mass concentration behavior of minimizers for rotating Bose-Einstein condensates (BEC) with attractive interactions in a bounded domain D⊂R^ 2 . It is shown that there exists a ...
• Finite Difference Method for Solving Nonlinear Fredholm Integro-Differential Equations 

  REMEL, HANINE (University of Guelma, 2025)

  This thesis presents a novel numerical approach for solving nonlinear Fredholm integro-differential equations involving both the unknown function and its derivative. The proposed method combines the backward finite difference ...
• Controllability for a class of \psiCaputo fractional system 

  DEBABGHA, ZINEB (University of Guelma, 2025)

  In this work, we investigate the controllability of a class of fractional systems in the Ψ-Caputo sense with nonlocal initial conditions. First, we establish the existence and uniqueness of solutions by applying the ...
• Stability Analysis of a System of Sturm-Liouville and Langevin Fractional Differential Equations 

  BOUFERNANA, AHLEM (University of Guelma, 2025)

  This thesis falls within the framework of studying fractional differential equations. This subject was inspired by the work of A. Berhail, N. Tabouche, M.M. Matar and J. Alzabut, article [9] on which Belaadi, and Benkamouche ...
• équations de mouvement de l'air 

  MAMENIA, RIHAB (University of Guelma, 2025)

  This work focuses on modeling the movement of air while accounting for the condensation of water vapor, using equations derived from fluid mechanics. These equations are nonlinear and generally do not admitanalytical ...
• Transformation de Laplace appliquée aux équations différentielles fractionnaires 

  MOUSSAOUI, NADA (University of Guelma, 2025)

  The aim of this thesis is to solve some ordinary and fractional differential equations using the Laplace transformation associated with fractional calculus. Keywords: Fractional calculus, fractional derivative for ...
• Analytical and Numerical Treatment of a Fractional Model for the PANTOGRAPH 

  TABIB, MERYEM (University of Guelma, 2025)

  Fractional delay differential equations constitute a powerful mathematical framework for modeling complex dynamical phenomena exhibiting memory and delay effects. In this study, we investigate a class of fractional delay ...
• Étude de la solution d'un problème aux limites pour une èquation différentielle ordinaire du troisième ordre à trois points 

  LAIB, FADIA (University of Guelma, 2025)

  The objective of this work is to establish the existence, the uniqueness and the positivity of a solution for a boundary value problem generated by differential equation of third order, using the Leray-Schauder nonlinear ...
• From Pixels to Polymers : A Deep-Hybrid Spectral Framework for Precise Plastic Detection Using Hyperspectral Imaging and AI 

  CHAIB Mohammed, Yahiaoui Achraf (University of Guelma, 2025)

  The detection and classification of plastic waste have become critical priorities amid escalating environmental concerns, particularly in aquatic and terrestrial ecosystems. Conventional imaging and manual inspection techniques ...
• Novel Existence and Uniquenss results for Seqential Fractional Neutral Functional Differential Equations 

  AOUISSI, Sifeddine (University of Guelma, 2024)

  This work was devoted to the study of the existence and uniqueness of solutions for two classes of sequential fractional neutral functional differential equations. The first category is the Caputo-Hadamard type, while the ...
• Méthode de Galerkin-éléments finis mixtes pour une équation parabolique p-biharmonique avec terme mémoire 

  LARIBI, NADA (University of Guelma, 2024)

  A high-order parabolic p-biLaplace equation with memory term is studied. Using Roth’s method, we managed to nd the approximate solution of the time semi-discretized problem. Some a priori estimates are proved, from which ...
• Non-Periodic Boundary Value Problem for a fractional differential equation of the Jerk type 

  GHELLAB, AMIRA (University of Guelma, 2024)

  n this work, we consider a model of the Jerk problem of fractional order in the G-Caputo sense with non periodic conditions. Firstly, we establish the existence and uniqueness of the solution, which is achieved via the ...
• Lien EDP, EDS et Applications 

  LAFIFI, Manar (University of Guelma, 2024)

  The object of this memory is to present the link between partial di§erential equations ìPDEîand stochastic di§erential equations ìSDEîdue to the relationships that exist between probabilities and partial di§erential ...
• Unicité et positivité de la solution d'un problème aux limites du second ordre 

  BACIL , MAYSSA (University of Guelma, 2024)

  The aim of this work is to study and to prove the uniqueness and the positivity of a nontrivial solution for a boundary problem generated by a second order differential equation, we used Banach's contraction principle and ...
• On the eigenanalysis methods for solving systems of higher-order differentail equations 

  CHEDDADI, Samiha (University of Guelma, 2024)

  We study some higher order differential equations sharing a common set of solutions, where we deal with the fundamental link between these equations and the linear differential systems of the first order in dimension n. ...
• Sur les équations de conservation 

  LELLOUCHE, Samah (University of Guelma, 2024)

  We consider the conservation equation of water drops describing the coagulation process of water drops falling in the air with a speed determined by the gravitational force, the friction between these droplets and the ...

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