Controllability of time‐varying fractional dynamical systems with prescribed control

The study of this article deals with the controllability results for time‐varying fractional dynamical systems in terms of Caputo‐type fractional derivatives having a prescribed or predetermined control. We demonstrate the controllability results for time‐varying linear fractional dynamical systems using Gramian technique and fractional calculus. Additionally, we explore the controllability results for semi‐linear and nonlinear fractional dynamical systems through the fixed point techniques. Several numerical examples are illustrated to validate the theoretical results.