Etude de quelques équations différentielles fractionnaires par l'application de la fonction de Lyapunov

Abstract

In this thesis, we present some results on existence, uniqueness, and stability for a class of initial value problems and impulsive coupled system fractional differential equa tions involving Caputo-Hadamard, we also discuss stability for some coupled systems on networks and linear system fractional differential equations with Caputo-Hadamard derivative. Our results are based on some standard fixed point theorems, we also esta blish the Ulam-Hyers and Mittag-Leffler stability results for some addressed problems. We have also provided an illustrative example of each of our considered problems to show the validity of the conditions and justify the efficiency of our established results.