Analyse et contrôlabilité de certaines classes d’équations différentielles

Abstract

The objective of this thesis is to present both some results on the existence, stability and controllability of the solutions of some classes of fractional diferential equations with delay and impulses in finite and infinite dimensional Banch spaces. We shall make us the notion of the measure of noncompactness, the semigroup theory and the fixed point approach ;in particular we use the banach contraction priciple, Schauder fixed point theorem, Darbo fixed point theorem, Burton Kirk fixed point theorem.