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A New Fractal Transform Frequency Formulation For Fractal Nonlinear Oscillators

Author

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  • KANG-LE WANG

    (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China)

Abstract

In this study, a new fractal derivative is employed to describe the nonlinear oscillator model. A variational principle of the fractal model is successfully established by using the fractal semi-inverse transform method, and its approximate frequency is obtained by a new fractal transform frequency formulation. The numerical example shows that the proposed technique is simple and accurate for fractal nonlinear oscillators.

Suggested Citation

  • Kang-Le Wang, 2021. "A New Fractal Transform Frequency Formulation For Fractal Nonlinear Oscillators," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-7, May.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21500626
    DOI: 10.1142/S0218348X21500626
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    Cited by:

    1. El-Dib, Yusry O. & Elgazery, Nasser S., 2022. "A novel pattern in a class of fractal models with the non-perturbative approach," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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