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August 25, 2025Open Access

Application of Fractal-Fractional Operators to Fractional Chaotic Systems: Insights into Complex Dynamics

Key Points

This research reveals the application of fractal-fractional operators can significantly enhance the understanding of chaotic systems, and complex dynamics may be better modeled using advanced mathematical techniques.
Key insights indicate that utilizing these operators leads to a new framework for addressing challenges in mathematical physics related to chaotic behavior in complex systems.
Analysis employs fractal-fractional calculus to explore the nuances of chaotic systems, enhancing the mathematical modeling of complex dynamic behavior in various applications.
Findings demonstrate potential improvements in modeling techniques, highlighting the importance of incorporating fractal and fractional calculus in addressing complex dynamics.

Abstract

FractalsAccepted Papers Special Issue: Recent Applications of Fractal Theory and Fractional Calculus in Mathematical Physics; (Guest Editors: O. A. Arqub et al.)Open AccessApplication of Fractal-Fractional Operators to Fractional Chaotic Systems: Insights into Complex DynamicsMuflih Alhazmi and Sayed SaberMuflih Alhazmi and Sayed Saber Search for more papers by this author https://doi.org/10.1142/S0218348X25402534Cited by:0 (Source: Crossref) PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail FiguresReferencesRelatedDetails Recommended Accepted Papers Metrics History Received 18 November 2024 Accepted 5 June 2025 InformationThis is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.PDF download

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Sayed Saber

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Fractals

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Application of Fractal-Fractional Operators to Fractional Chaotic Systems: Insights into Complex Dynamics

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