High Dimensional Fractional Coupled Systems: New Existence and Uniqueness Results

Louiza Tabharit, Zoubir Dahmani

In this paper, we study a class of high dimensional coupled fractional differential systems using Caputo approach. We investigate the existence of solutions using Schaefer fixed point theorem. Moreover, new existence and uniqueness results are obtained by using the contraction mapping principle. Finally, some examples are presented to illustrate our main results.