Résumé:
the controllability of differential systems plays an important role in the study of differential equations. The objective of this work is the study of the approximate controllability of a fractional nonlinear differential system in the caputo sense.We used the fixed point technique of Dhage to prove the existence result of the mild solution of the problem then we studied the approximate controllability of the nonlinear fractional differential system. Finally, we provide an example illustrating the obtained results.
