Generalized Hat Functions for Fractional Delay Optimal Control Problems With ψ‐Caputo Fractional Derivative

• Published in: Mathematical methods in the applied sciences Vol. 48; no. 12; pp. 12139 - 12152
• Main Authors: Karami, S., Heydari, M. H., Baleanu, D., Shasadeghi, M.
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 01.08.2025
• Subjects: delay optimal control problem; Derivatives; Fractional calculus; generalized hat functions; operational matrix of ψ$$ \psi $$‐Riemann–Liouville fractional integral; Optimal control; Optimization; ψ$$ \psi $$‐Caputo fractional derivative

ABSTRACT The primary focus of this study is to examine delay optimization problems, subject to a dynamical system that involves ψ$$ \psi $$‐Caputo fractional derivative. The generalized hat functions are applied to develop a computational technique for addressing such problems. To achieve this, a ne...