Existence de solutions d’un problème aux limites avec impulsions

Abstract

In this thesis, we analyzed boundary value problems related to second-order impulsive differential equations and impulsive fractional differential equations. By applying the Banach contraction principle as well as the two fixed point theorems of Leray-Schauder, we established existence and uniqueness results for solutions under suitable hypotheses. This work confirms the importance of fixed point methods in the study of impulsive differential systems.