On the controllability result for a class of nonlocal fractional systems with ψ−Caputo fractional derivatives

Abstract

This work presents new controllability results for nonlocal fractional differential systems of order \( \beta \in (1,2) \) in infinite-dimensional Banach spaces. By using some fixed point theorems and certain properties of compact evolution operators, we establish sufficient conditions ensuring the controllability result. Finally, we provide a nontrivial example to illustrate the practical implications of our theoretical findings and demonstrate the application of the developed theory.