T he aim of this work is to develop recent methods for the solvability of some classes of
initial values problems involving fractional operators and optimal controls. In particular,
during the project of this doctorate ...
Dans cette thèse, notre objectif principal est de développer un cadre analytique et numérique visant à définir le spectre quadratique généralisé des opérateurs bornés, qui est déjà défini pour les matrices. De plus, nous ...
The main focus of this thesis is to present a numerical study of Fredholm integral equations
of the nonlinear integro-differential type. This includes examining both the regular and
weakly singular cases, as well as the ...
Les algorithmes du gradient conjugué et de Newton sont très fiables, avec des résultats théoriques bien établis et une excellente expérience numérique. Cependant, la relation entre eux n'a pas été pleinement explorée, et ...
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 ...
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. ...
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 =
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 ...
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 ...
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∗ ...
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 ...
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 ...
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 ...
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 ...
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 ...
In this thesis, we are interested in the Volterra nonlinear integral equation with two weakly
singular kernels.
The purpose is to put the problemin a functional framework to come out with acceptable
hypotheses, so a ...
Abstract
In this work, we are interested in studying the differential equation with periodic coeffi-
cients of the form :
˙x = A(t)x, x ∈ Rn.
where
A(t + T) = A(t).
We will define some initial concepts related to ...