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A New Frequency Amplitude Formula For The Local Fractional Nonlinear Oscillation Via Local Fractional Calculus

Author

Listed:
  • YONG-JU YANG

    (School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, P. R. China)

  • MING-CHAI YU

    (School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, P. R. China)

  • XUE-QIANG WANG

    (School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, P. R. China)

Abstract

In this paper, we propose a new frequency amplitude formula for the local fractional nonlinear oscillation via local fractional calculus. It is more general than the He’s frequency amplitude formula. Several test cases of local fractional nonlinear oscillations are given to prove the feasibility of the improved formula.

Suggested Citation

  • Yong-Ju Yang & Ming-Chai Yu & Xue-Qiang Wang, 2024. "A New Frequency Amplitude Formula For The Local Fractional Nonlinear Oscillation Via Local Fractional Calculus," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(04), pages 1-8.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:04:n:s0218348x24400231
    DOI: 10.1142/S0218348X24400231
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