New existence results for a coupled system of nonlinear differential equations of arbitrary order

This paper studies the existence of solutions for a coupled system of nonlinear fractional differential equations. New existence and uniqueness results are established using Banach fixed point theorem. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. Some illustrative examples are also presented.

Keywords:

Caputo derivative , Coupled system , Fractional differential equation , Fixed point