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

Institutions

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Khaled A. Gepreel, Jiahui Yu, Li Zhang
3 citations
Frontiers in Physics
Fractional Differential Equations Solutions
4.10
article

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

Khaled A. Gepreel, Jiahui Yu, Li Zhang
article en
3 citations

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.

Frontiers in PhysicsVol. 13
Xi'an University of Architecture and Technology (CN), Taif University (SA), Hohhot Minzu College (CN)
Openalex Percentile: Top 7%
Fractional Differential Equations Solutions
4.10
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.