A NEW FREQUENCY AMPLITUDE FORMULA FOR THE LOCAL FRACTIONAL NONLINEAR OSCILLATION VIA LOCAL FRACTIONAL CALCULUS

Yong-Ju Yang, Ming-Chai Yu and Xue-Qiang Wang
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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

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-8

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.

Keywords: He’s Frequency Formulation; Local Fractional Derivative; Nonlinear Oscillation; Frequency (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400231

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