Browsing by Author "Khalili Golmankhaneh, A."

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • Thumbnail Image
    Conference Object
    Fractal Nambu Mechanics: Extending Dynamics With Fractal Calculus
    (Springer Science and Business Media Deutschland GmbH, 2025) Khalili Golmankhaneh, A.; Tunç, C.; Juraev, D.A.
    In this paper, we extend the principles of Nambu mechanics by incorporating fractal calculus. This extension introduces Hamiltonian and Lagrangian mechanics that incorporate fractal derivatives. By doing so, we broaden the scope of our analysis to encompass the dynamics of fractal systems, enabling us to capture their intricate and self-similar properties. This novel approach opens up new avenues for understanding and modeling complex fractal structures, thereby advancing our comprehension of these intricate phenomena. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.
  • Thumbnail Image
    Article
    Fractal Signal Processing
    (Birkhauser, 2025) Khalili Golmankhaneh, A.; Pham, D.; Banchuin, R.; Şevlï, H.
    This paper presents a novel low-pass filtering framework based on Fractal First -order and Second -order designs, formulated within the framework of fractal calculus. By incorporating the structure of fractal time, the proposed filters can effectively process signals with intricate, non-differentiable characteristics. The fractal second -order low-pass filter is applied to a simulated noisy ECG signal, demonstrating significant noise suppression while preserving the essential morphological features of the waveform. A comparative study with the classical Bessel low-pass filter further illustrates the advantages of the fractal approach in capturing scale-invariant and self-similar properties of biomedical signals. These results highlight the potential of fractal-order filters for advanced biomedical signal processing. © 2025 Elsevier B.V., All rights reserved.