Controllability for a class of \psiCaputo fractional system

Abstract

In this work, we investigate the controllability of a class of fractional systems in the Ψ-Caputo sense with nonlocal initial conditions. First, we establish the existence and uniqueness of solutions by applying the Schauder fixed point theorem and the Banach contraction principle. Subsequently, we analyze the controllability of the nonlinear problem. Finally, we present a numerical example to elucidate the theoretical framework and demonstrate the obtained results.