Trajectory Controllability of the Nonlinear Systems Governed by Fractional Differential Equations

Abstract

In this manuscript, we consider a nonlinear system governed by fractional differential equations in a Banach space. Used the semigroup theory of linear operators and Gronwal’s inequality to show the trajectory controllability of the system. Also, we extend our results to nonlocal and integro-differential equations. Finally, we give an example to illustrate the applications of these results.