On the controllability of nonlinear fractionalsystem with control delay

Abstract

We discuss the controllability of nonlinear fractional control system with control delay.Firstly we obtain result about controllability of a linear fractional control system. Afterthat, we give sufficient condition for the controllability of nonlinear fractional systemwith control delay. Our approach is based on Schauder fixed point theorem. At the endnumerical example is constructed to support the result.