Contrôlabilité faible d’un système intégro-différentiel fractionnaire linéaire

Abstract

In this work, we investigate the controllability of integro-differential linear fractional dynamical system by using fractional Caputo derivatives. In the process of proof, we mainly use Mittag-Leffler function to obtain the integral solution. then, we study the weak controllability of our system by using the Gramian matrix. At last, we give an example to illustrate our main result.