On the Controllability Result for a Class of Nonlocal Fractional Systems with ψ−Caputo Fractional Derivatives

Ismail Sadouki; Ali El Mfadel; Abdelaziz Qaffou

doi:10.5269/bspm.75968

On the Controllability Result for a Class of Nonlocal Fractional Systems with ψ−Caputo Fractional Derivatives

Ismail Sadouki Laboratory of Applied Mathematics and Scientific Computing,Sultan Moulay Slimane University,Beni Mellal, Morocco
Ali El Mfadel Laboratory of Applied Mathematics and Scientific Computing,Sultan Moulay Slimane University,Beni Mellal, Morocco
Abdelaziz Qaffou Laboratory of Applied Mathematics and Scientific Computing,Sultan Moulay Slimane University,Beni Mellal, Morocco

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.