A novel Lerch-hybrid approach for distributed-order fractional optimal control problems

Zahra Alizade, Yadollah Ordokhani, Parisa Rahimkhani, Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Faculty of Science, Mahallat Institute of Higher Education

Journal of Vibration and Control

Published online on November 25, 2025

Abstract

Journal of Vibration and Control, Ahead of Print.
This study introduces an innovative numerical approach employing the hybrid Lerch functions to solve distributed-order fractional optimal control problems. The proposed approach combines the block-pulse functions with the Lerch polynomials to create an ...