Stability of a fractional differential system involving Q-derivative of Caputo.

This paper is concerned with the study of a system of q-fractional differential equations. By applying the Leray-Schauder alternative, we show the existence of multiple solutions to our system. Then, the uniqueness of the solution is shown using the Banach fixed point theorem. On the other hand, we study stability in the sense of Ulam-Hyers then that of Ulam-Hyers Rassias. Finally, we give some examples to illustrate our results. [ABSTRACT FROM AUTHOR]