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The Energy Balance Method Coupled With The Galerkin Method For Local Fractional Nonlinear Oscillation

Author

Listed:
  • YONG-JU YANG

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

  • GUO-LI HAN

    (��Department of Security, Henan University of Animal Husbandry and Economy, Zhengzhou, Henan 450046, P. R. China)

  • BAO-JUN WANG

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

Abstract

The method of solving the vibration frequency of local fractional nonlinear oscillators under general initial conditions is studied by coupling the energy balance method with the Galerkin method. One test case of fractional vibration is given to prove the feasibility of this method.

Suggested Citation

  • Yong-Ju Yang & Guo-Li Han & Bao-Jun Wang, 2024. "The Energy Balance Method Coupled With The Galerkin Method For Local Fractional Nonlinear Oscillation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(07n08), pages 1-7.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:07n08:n:s0218348x24400401
    DOI: 10.1142/S0218348X24400401
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