Abstract
This paper is a study about a fractional‐order hybrid system of two fractional‐order differential equations. We have given the existence of solution and uniqueness of solutions, and finally, the numerical solutions for an application is presented. The existence results are based on the classical fixed‐point approach while the numerical results are obtained with the help of fractional‐order Euler's technique. In the numerical solutions, we can see that the orders of the differential equations are playing important role. We have given related literature for the readers for their detail explanation.