• Acceleration of the convergence of the gradient method by using the conjugate gradient 

  BAHI, Amina (University Larbi Tébessi – Tébessa, 2024-06-09)

  The conjugate gradient method is considered one of the most important methods used to speed up the gradient algorithm, for this purpose, several related algorithms have been developed. We will present a new method that ...
• STUDY OF EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS OF SOME SYSTEMS AND PARTIAL DIFFERENTIAL EQUATIONS 

  SAKHER, Ilham (University Larbi Tébessi – Tébessa, 2024-06-09)

  In this work we are concerned to prove the existence, uniqueness and the continuous dependance of a strong solution upon the data of some mixed problems with classical ( Dirichlet, Neumann) and integral conditions for ...
• Stability Results of a Coupled Wave Equations With Time Delay 

  ZERDOUMI, Nabila (University Larbi Tébessi – Tébessa, 2024-06-09)

  The aim of this work is to give a results related to locally coupled wave equations with non- smooth localized viscoelastic damping of Kelvin-Voigt type and localized time delay (studied by Mohammad Akil et al[1]). The ...
• On some q-transformations 

  AZRI, Dhia Eddine (University Larbi Tébessi – Tébessa, 2024-06-08)

  This dissertation deals with the most important definitions and mathematical prop- erties of q-calculus, such as quantum derivative and Jackson integration, in addition to formulating quantum transformations such as ...
• Classical Numbers defined by Generating functions 

  BRAHMI, Chihab Eddine (University Larbi Tébessi – Tébessa, 2024-06-08)

  The main object of this dissertation is to investigate some classical numbers using the corresponding Generating functions .For each sequence included in this dissertation, we shall provide an overview About its ...
• Study of existence and uniqueness of the solution of a class of linear and semi-linear equations 

  SAIDANI, Mohammed (University Larbi Tébessi – Tébessa, 2024-06-08)

  This memoir aims to study two cases of general mixed problems with integral con- ditions, both classical and non-local. The memoir begins with an introduction providing background and interest in the addressed topic, ...
• Etude analytique et numérique de l’équation intégrale non standard de Volterra 

  LOUAFI, Lamia (Université Echahid Chikh Larbi Tébessi -Tébessa, 2024-06-08)

  Les équations intégrales de Fredholm et de Volterra jouent un rôle essentiel dans les branches mathématiques à cause de leurs applications dans les divers domaines scientifiques. Pour cette raison, dans ce mémoire on ...
• Numerical Solution Of Fractional Differential Equations Using Iterative Reproducing Kernel Method 

  DJEDDI, Kanza (University Larbi Tébessi – Tébessa, 2024-06-09)

  In this work, an accurate numerical approximation algorithm based on the reproducing kernel Hilbert space (RKHS) approach has been proposed to solve a class of fractional differential equations within the framework of ...
• Study Of the Stability Of Fractional Chaotic Systems With Sinusoidal Term 

  ABDELKARIM, Salma (University Larbi Tébessi – Tébessa, 2024-06-08)

  In this memory, two typical chaotic maps with sine terms serve as the basis for studying the dynamics of two fractional-order chaotic maps. Using numerical methods including phase plots, bifurcation diagrams, Lyapunov ...
• Existence et Multiplicité des Solutions d’un Problème Elliptique de Double Phase 

  BAKHOUCHE, Rahma (Université de Echahid Cheikh Larbi Tébessi –Tébessa-, 2024-06-08)

  Le but de ce mémoire est d’étudier l’existence et la multiplicité des solutions d’un pro blème elliptique de double phase avec des conditions aux bords nonlinéaires, en appliquant la théorie des points critiques dans ...
• Limit Cycles Bifurcating From A Zero-Hopf Type Equilibrium For Certain Autonomous Differential Systems 

  GHANEM, Rabab (Echahid chikh Larbi Tébessi University-Tébessa, 2024-06)

  The objective of this work is to study the existence of bifurcations of zero-Hopf type at the so-called Chen–Wang differential system y x y            z z  , , y  ...
• Delayed Differential Equation in Epidemiology 

  GATTAL, Wiam (Echahid chikh Larbi Tébessi University-Tébessa, 2024-06-08)

  In this thesis, we address the issue of time delays that commonly appear in ordinary differen tial equations (ODEs). The purpose of this thesis is to explore the types of problems that cannot be solved by ODEs and ...
• Adaptive Control for Fractional-Integer Order Systems Synchronization 

  AOUICHAT, Djihane (Echahid chikh Larbi Tébessi University-Tébessa, 2024-06-08)

  In this work, we used an adaptive control method to achieve synchronization between fractional and integer order chaotic systems based on Lyapunov stability theory with unknown system parameters. We verified the ...
• Problèmes d'explosion de solutions pour des équations d'évolution fractionnaires non linéaires 

  TABET, Soundes (Université de Echahid Cheikh Larbi Tébessi –Tébessa-, 2024-06-08)

  Dans ce mémoire, nous nous sommes intéressés à l'étude de certains problèmes liés aux équations d'évolution fractionnaires et des non linéarités de croissance polynomiale. Tout d'abord, nous avons présenté certaines ...
• Chaos Synchronization of Fractional-order systems via Adaptive Control Method 

  SAMET, Yacine (Université de Echahid Cheikh Larbi Tébessi –Tébessa-, 2024-06-09)

  In this research, we employ the Adaptive Control Method to synchronize fractional-order chaotic systems using Lyapunov stability theory, when system parameters are unknown. The proposed synchronization approach aims ...
• Mathematical study of certain epidemiological models 

  ACHACH, Moussaab (Université de Echahid Cheikh Larbi Tébessi –Tébessa-, 2024-06-09)

  The objective of this memoire is to examine the intricacies of a reaction-diffusion (susceptib infectious-susceptible) SIS epidemic model featuring a nonlinear incidence rate, which characterizes the spread of a contagious ...
• The Orthogonality in B(H) 

  ZEMALI, Raounek (Université de Echahid Cheikh Larbi Tébessi –Tébessa-, 2024-06-08)

  Theobjective of this memory is to study the orthogonality in Banch space, So we will study the orthogonality in different spaces, inC1 classe, L1(B(H)) and B(H), such that B(H) is the algebra of all boundedlinear ...
• Théorie spectrale des opérateurs linéaire dans les espaces normés 

  GATTAL, Narimanne (Université de Echahid Cheikh Larbi Tébessi –Tébessa-, 2024-06-08)

  Le but de cette mémoire est d'étudier la théorie spectral des opérateurs linéaires dans les espaces normés. Cela implique l'explorer des espaces, propriétés des spectre et le rayon spectrale. Elle se compose de trois ...
• Carleman estimates to study some controllability problems of hyperbolic PDES 

  DERBALI, Kamla (Université de Echahid Cheikh Larbi Tébessi –Tébessa-, 2024-06-09)

  In this memory,we present carleman estimates for some hyperbolic Partial Differential Equations and on the techniques of construction and application to solving controllability problems. In the first chapter, we ...
• Periodic orbits of some Zeraoulia-Sprott mappings 

  BASLI, Fadoua (Université Echahid Chikh Larbi Tébessi -Tébessa, 2024-06-08)

  This memory concerns the study of periodic orbits in some Zeraoulia-Sprott maps in 1 and 2 dimensions. The memory is divided into three chapters that deals with the properties of some 1 and 2 dimensional piecewise smooth ...

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