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 ...
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 ...
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 ...
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 ...
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 ...
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. ...
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 ...
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 ...
Following a newly established paradigm in precursor works at LMAM, diverging from widely recognised conventions, and inspired by an article on non-linear equations, we embark on the interdisciplinary mathematical mission ...
Dans cette étude approfondie, nous eectuons une analyse complète du système
bruxellois en intégrant des approches analytiques et numériques. Pour résumer succinctement notre méthodologie initiale, nous revisitons le système ...
Dans cette thèse, nous obtenons de nouveaux résultats pour différentes méthodes de contrôlabilité pour deux nouvelles classes de systèmes de contrôle non locaux de type Sobolev dans des espaces de Hilbert.
Tout d'abord, ...
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 ...