Fractional-order Horadam functions: A new set of functions to solve fractional optimal control problems

Zahra Najafi, Yadollah Ordokhani, Sedigheh Sabermahani, Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Department of Mathematics Education, Farhangian University

Journal of Vibration and Control

Published online on July 17, 2025

Abstract

Journal of Vibration and Control, Ahead of Print.
The primary aim of this paper is to present an approximation method based on a new set of functions named fractional-order Horadam functions (FHFs). Horadam polynomials have four free parametersa,b,p,q, and this feature distinguishes them from other ...