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 ...

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 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 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 ...

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 ...

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 ...

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 ...