2- رياضيات: Recent submissions

  • 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 ...
  • Blow-up Phenomena for some nonlinear pseudo-parabolic equation 
    BARHOUM, Aya (Université Echahid Chikh Larbi Tébessi -Tébessa, 2024-06-09)
    The main objective of this thesis is an analytical study of the blow-up of solutions for certain pseudo-parabolic equations. In the first study, we focused on equations with source and damping terms with fixed exponents. ...
  • Study of a fourth order elliptic problem 
    FARDI, Nihel (Université Echahid Chikh Larbi Tébessi -Tébessa, 2023-06-04)
    The work presented in this memory is devoted to the study of the existence and multiplicity of nontrivial solutions for a fourth-order elliptic problem (p-biharmonic). The results are obtained by using the Nehari manifold ...
  • L’image numérique et le rayon numérique d’un opérateur lénéaire 
    AZZEDDINE, Ihssane (Université Echahid Chikh Larbi Tébessi -Tébessa, 2023-06-05)
    Soit H un espace de Hilbert complexe, etL(H) l’algèbre des opérateurs linéaires bornés sur H. On définie l’image numérique d’un opérateur A ∈ L(H) par : W (A) = {<Ax.x>, x ∈H, ||x|| = 1}. Et le rayon numérique d’un ...
  • Inverse généralisé d’un opérateur borné 
    KHENIFAR, Mohammed (Université Echahid Chikh Larbi Tébessi -Tébessa, 2023-06-05)
    Le but de ce travail est d'étudier l'inverse généralisé d'un opérateur linéaire borné.Au début on a étudié les propriétés de l'inverse généralisé interne, externe et réflexif, on a défini l'inverse de Moore-Penrose, qui ...
  • Carleman estimates for parabolic equations Applications to controllability problems 
    BOUDIBA, Ibtissem (Université Echahid Chikh Larbi Tébessi -Tébessa, 2023-06-04)
    The main goal of thismemoryis to show someCarlmanestimates of parabolicPDEs and its application to controllabilityproblems. Weshallpresenttwokinds: the first is for a heatequation and the second is the general case of ...
  • Contribution to chest Radiograph Pathology categorization 
    SOUALMIA, Adel (Université Echahid Chikh Larbi Tébessi -Tébessa, 2023-06-06)
    Classification of chest diseases is one of the most interesting research topics in recent years because it requires rapid, high-accuracy diagnosis. Although chest radiography has several advantages in diagnosing Radiologists ...
  • An analytic study of an epidemiological model as system of non-linear equations 
    MELLAH, Salsabil (Université Echahid Chikh Larbi Tébessi -Tébessa, 2023-06-04)
    The objective of this thesis is to introduce the field of epidemiology and its relationship with mathematics, as well as how it is modeled using partial differential equations. We specifically focus on the epidemic ...