In this work, we investigate the controllability of a class of fractional systems in the Ψ-Caputo
sense with nonlocal initial conditions.
First, we establish the existence and uniqueness of solutions by applying the ...
This thesis falls within the framework of studying fractional differential equations.
This subject was inspired by the work of A. Berhail, N. Tabouche, M.M. Matar and J.
Alzabut, article [9] on which Belaadi, and Benkamouche ...
This work focuses on modeling the movement of air while accounting for the condensation of water vapor, using equations derived from fluid mechanics. These equations are nonlinear and generally do not admitanalytical ...
The aim of this thesis is to solve some ordinary and fractional differential
equations using the Laplace transformation associated with fractional calculus.
Keywords: Fractional calculus, fractional derivative for ...
Fractional delay differential equations constitute a powerful mathematical framework
for modeling complex dynamical phenomena exhibiting memory and delay effects. In
this study, we investigate a class of fractional delay ...
The objective of this work is to establish the existence, the uniqueness and the positivity of a solution for a boundary value problem generated by differential equation of third order, using the Leray-Schauder nonlinear ...
CHAIB Mohammed, Yahiaoui Achraf(University of Guelma, 2025)
The detection and classification of plastic waste have become critical priorities amid escalating environmental
concerns, particularly in aquatic and terrestrial ecosystems. Conventional imaging and manual inspection
techniques ...
In this thesis, we aim to conduct analytical and approximate (numerical) studies on higher-order partial differential equations.
In the first work, we investigate a class of nonlinear parabolic integro-differential equations ...
Les EDP évolutives sont considérées comme l'un des piliers fondamentaux des mathématiques modernes. Cette thèse contient, dans sa première partie, une étude numérique d'une équation non linéaire parabolique d'ordre supérieur ...
يعتمد عملنا على تعريف جديد لشبه الطيف المعمم، تم تقديمه لأول مرة في مخبر الرياضيات التطبيقية والنمذجة (LMAM)، بهدف إيجاد حل جديد لمشكلة التلوث الطيفي. بعد وضع التعريفات والأسس الأولية، كان هدفنا تطوير نظرية أساسية حول تقارب ...
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 ...