• 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 ...
• Study of Wave Equation 

  TALBI, AYA (University of Guelma, 2024)

  The aim of this memory is to study some physical problems related to wave equations. These wave phenomena appear in numerous applications such as: sound waves and electromagnetic waves... In the first chapter, we ...
• On solution for fractional differential equations using upper and lower solutions method 

  Chirouf, Rafida (University of Guelma, 2023)

  We are interested in this memory in nonlinear differential equations,this type of equations describes many phenomena.The objective of this memory is to study the approximate solution for solving a class of nonlinear ...
• Mean values of arithmetic functions 

  Zitouni, Naima (University of Guelma, 2023)

  In this work, we understand the basic arithmetic functions, as well as chebyshev’s functions. Next, we present famous summation formulas with proofs. For example: The Euler summation formula and partial summation formula. ...
• Cycles limites de quelques classes d’équations de Mathieu-Duffing perturbées 

  Zeraoulia, Warda (University of Guelma, 2023)

  Abstract In this work, Örst we study the maximum number of limit cycles for a class of polynomial di§erential systems that can bifurcate from the periodic orbits of the linear center _x = y; _y =
• Étude de l’existence, l’unicité, la positivité et la stabilité de quelques problèmes fractionnaires non linéaires 

  ZADEM, Hadil (University of Guelma, 2023)

  The fixed-point principle has many applications. It is involved in the resolution of se- veral nonlinear differential equations in particular, in the study of existence and unique- ness. In our work, first we investigate ...
• Sur un problème aux limites engendré par une équation différentielle du troisième ordre 

  Tlidjani, Roumayssa (University of Guelma, 2023)

  Líojective of this work presented in this memory is to apply the reproducing ker- nel Hilbert space methode(RKHSM ) for solving third order di§erential equations with multiple characteristics in a recangular domain. The ...
• Sur la concentration de masse d'un condensat de Bose-Einstein. 

  TABANE, Imane (University of Guelma, 2023)

  We consider two-dimensional Bose–Einstein condensates with attractive interac- tion, described by the Gross–Pitaevskii functional. Minimizers of this functional exist only if the interaction strength a satisfies a < a∗ ...
• Inégalités intégrales de type Bullen-Simpson 

  Samoudi, Sarra (University of Guelma, 2023)

  The aim of this memory, is to study the Bullen-Simpson type inequalities for function whose first derivatives are s- convex, bounded as well as Holderian. for this we propose: In the first chapter, a preliminaries ...
• Study of a Snap problem in the Hilfer - Katugampola sense 

  Ouled, Meriem Feriel (University of Guelma, 2023)

  Abstract In our thesis, inspired by the work of Berhail, A., Tabouche, N., Matar, M.M., Samei, M.E., Kaabar, M.K.A., Xiaofeng Wang and Xiao-Guang Yue, which primarily concerns itself with addressing the underlying issues ...
• Existence et contrôlabilité trajectoire pour les équations différentielles fractionnaires ψ-Caputo 

  NASRI, Ghada (University of Guelma, 2023)

  Conclusion Dans ce mémoire, nous avons présenter une étude de l’existence et la contrôlabilité trajectoire d’un système non linéaire gouvernés par des équations différentielles fractionnaires de ψ-Caputo avec des ...
• Existence and Stability Results of Fractional Stochastic Differential Equations with Lévy Noise 

  MEZARA, INES (University of Guelma, 2023)

  The aim of this work is to study that the existence of solution of stochastic fractional di§eren- tial equations with LÈvy noise is established by the Picard-Lindelˆf successive approximation scheme. The stability of ...
• Deux méthodes de régularisation pour un problème inverse de conduction thermique semi-linéaire mal-posé 

  LAMOURI, Selma (University of Guelma, 2023)

  ii Abstract The present memory we consider an inverse semi linear heat conduction problem, and we assume that there existe a heat source which is significantly dependant on space, time and temperature and heat flux. The ...

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