He’s frequency formulation for fractal-fractional nonlinear oscillators: a comprehensive analysis
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.
Authors
- Khaled A. Gepreel (ORCID: https://orcid.org/0000-0001-5542-8694)
- Jiahui Yu (ORCID: https://orcid.org/0009-0003-1293-7706)
- Li Zhang (ORCID: https://orcid.org/0000-0002-7179-2696)
Institutions
- Xi'an University of Architecture and Technology (CN)
- Taif University (SA)
- Hohhot Minzu College (CN)
Publication Details
- Journal
- Frontiers in Physics
- Published
- 2025-03-20
- DOI
- https://doi.org/10.3389/fphy.2025.1542758
- Citations
- 3
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 4.10