New Results for a System of Two Fractional Differential Equations Involving $n$ Caputo Derivatives

Mohamed Houas, Zoubir Dahmani

This paper studies a coupled system of two differential equations of arbitrary orders using Caputo approach with $n$ derivatives, $n\in N*,n\neq 1$. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. Some illustrative examples are also presented.