Mathématiqueshttp://hdl.handle.net/123456789/1325612019-04-19T08:52:34Z2019-04-19T08:52:34ZRésolutions de quelques équations différentielles fractionnaires sur l'espace d'Heisenberg.Bekkar, MeneceurHaouam, Kamelhttp://hdl.handle.net/123456789/1365252019-02-19T10:33:39Z2018-10-25T00:00:00ZRésolutions de quelques équations différentielles fractionnaires sur l'espace d'Heisenberg.
Bekkar, Meneceur; Haouam, Kamel
This thesis is devoted to the study of the non‐existence problems of global
solutions for some PDEs and partial differential systems with fractional derivatives
with respect to time, the basic idea of proofs is based on the method of the
functions test for the determination of the Fujita type exponent.
2018-10-25T00:00:00ZSur les bialgèbres faibles et les algèbres de Hopf faibles.Chebel, ZoheirMakhlouf, Abdenacerhttp://hdl.handle.net/123456789/1365152019-02-10T14:47:11Z2018-10-21T00:00:00ZSur les bialgèbres faibles et les algèbres de Hopf faibles.
Chebel, Zoheir; Makhlouf, Abdenacer
In this thesis, we study the structure of weak bialgebras and weak Hopf algebras. These structures appeared in Physics, in particular in renormalization in quantum fields theory and q-deformations of oscillator algebras. They are generalization of bialgebras and Hopf algebras obtained by relaxing the condition that the comultiplication and the counit are algebra maps with respect to the unit element.
In this work, we provide a complete study of weak bialgebra and weak Hopf algebras structures. We recall definitions and properties. Moreover a classification in dimension 2 and 3 are given. The main results deal with Kaplansky-type constructions. Indeed we show various constructions providing weak bialgebras and weak Hopf algebras, starting by an associative algebra. A second part of this thesis is dedicated to twisted structures, which are Hom-type algebras. We introduce weak hom-bialgebras and weak Hom-Hopf algebras for which we obtain similar results. In the last part of the thesis, we explore Ore extensions and deformations of weak bialgebras and weak Hopf algebras.
2018-10-21T00:00:00Zحول الـ FC-زمر و الـ FNk-زمر في بعض فئات الزمر ذات النوع المنتهشلغا م, مرادكرادة, محمدhttp://hdl.handle.net/123456789/1364832019-01-10T11:04:16Z2018-11-04T00:00:00Zحول الـ FC-زمر و الـ FNk-زمر في بعض فئات الزمر ذات النوع المنته
شلغا م, مراد; كرادة, محمد
The first axis consists of two parts, the first containing the definitions and characteristics of FC-groups. The second part showing the relationship between this class, the class of PE-groups and the problem of P. Erdös. We also giving a solution to this problem developed by B. Neumann in [25], which allowed the extension of this problem and the introductions of the two classes and for certain classes of -groups.
The second axis includes two parts. The first is the basic elements in the theory of groups and some known classes of groups and their properties. The second part presents the findings of the researchers in their study
of the two categories and , for certain classes of -groups.
In the last axis we review the results that we have reached, which are :
- The study of the stability of the property FC by finite and torsion extensions.
- The study of some finitely generated groups belonging to the two classes and in those cases:
with special cases considered for k = 1 and k = 2.
2018-11-04T00:00:00ZChaos et synchronisation (généralisé) dans les systèmes dynamiques.Gasri, AhlemZeraoulia, Elhadjhttp://hdl.handle.net/123456789/1364432018-11-19T08:41:32Z2018-07-12T00:00:00ZChaos et synchronisation (généralisé) dans les systèmes dynamiques.
Gasri, Ahlem; Zeraoulia, Elhadj
In recent years, chaos synchronization has been widely explored and studied because of
its potential applications, such as in secure communication, chemical reactions, biological systems, information science. Thereby, a variety of approaches have been proposed
for the synchronization of chaotic systems, such as complete synchronization, generalized
synchronization and projective synchronization.
Recently, hybrid function projective synchronization (HFPS) for chaotic systems is extensively considered. On the other hand, studying the inverse problem of this scheme with
produce, a new synchronization type called Inverse Hybrid Function Projective Synchronization (IHFPS), is an attractive and important idea. So, we introduce in this thesis the
IHFPS for 5-D general class of chaotic systems in continuous-time. To achieve IHFPS,
we use the lyapunov stability theory.
More recently, new research has focused on studying the combination of several types
of synchronization. Therefore, at the Örst, we constructed a new type of hybrid chaos
synchronization based on the on coexistence of Generalized Synchronization (GS)
and its inverse (IGS). By using Lyapunov stability theory and stability theory of linear
continuous-time, some su¢ cient conditions are derived to prove the existence of (GS)
and (IGS) between 3-D master system and 4-D slave hyperchaotic system in 3D and
4D, respectively. Secondly, we illustrate new schemes which prove the existence of the
Full State Hybrid Function Projective Synchronization (FSHFPS) and its inverse (IFSHFPS) between a 3-D master system and a 4-D salve system in 4D and 3D,
respectively. Some examples with numerical simulations allowed us to verify the e§ectiveness of the theoretical analyzes developed herein.
2018-07-12T00:00:00Z