Exact controllability of semilinear control systems involving conformable fractional derivatives

Abstract

In this paper, we discuss the exact controllability of conformable fractional semilinear control systems. First, the existence and uniqueness of the solution for such control systems are proved. Second, we establish the exact controllability results for the conformable fractional semilinear control system using fixed point theorem, assuming that the associated linear system is exactly controllable. Finally, a typical example is provided to show the effectiveness of the obtained results.