AUTHOR=Zhang Liangyuan , Gepreel Khaled A. , Yu Jiahui 

TITLE=He’s frequency formulation for fractal-fractional nonlinear oscillators: a comprehensive analysis

JOURNAL=Frontiers in Physics

VOLUME=Volume 13 - 2025

YEAR=2025

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1542758

DOI=10.3389/fphy.2025.1542758

ISSN=2296-424X

ABSTRACT=This mini-review focuses on He’s frequency formulation for fractal-fractional nonlinear oscillators. It examines the significance and applications of this formulation in understanding and analyzing the frequency-amplitude relationship within a fractal space. The review analyses the key features and advantages of He’s frequency formulation, highlighting its role in providing a straightforward approach to fractal vibration systems compared to traditional methods. Furthermore, it discusses an open problem for future research.