THE ENERGY BALANCE METHOD COUPLED WITH THE GALERKIN METHOD FOR LOCAL FRACTIONAL NONLINEAR OSCILLATION

Yong-Ju Yang, Guo-Li Han () and Bao-Jun Wang ()
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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

FRACTALS (fractals), 2024, vol. 32, issue 07n08, 1-7

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.

Keywords: Local Fractional Derivative; He’s Frequency Formulation; Energy Balance Method; Nonlinear Oscillation; Frequency (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400401

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