Controllability of nonlinear higher order neutral fractional delay integrodifferential systems with prescribed controls

Abstract

This paper is concerned with the controllability of nonlinear higher-order neutral fractional delay integrodifferential equations with prescribed controls, which involved Caputo derivatives of any different orders. A necessary and sufficient condition of controllability of the linear fractional delay dynamical a system with
prescribed controls has proved. With the aid of fixed-point arguments, a sufficient condition for the corresponding nonlinear integrodifferential equation has established. Examples are given to verify the results.