Resumo

EZE, S.C.. Analysis of fractional Duffing oscillator. Rev. mex. fis. [online]. 2020, vol.66, n.2, pp.187-191.  Epub 26-Mar-2021. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.66.187.

In this contribution, a simple analytical method (which is an elegant combination of well known methods; perturbation and Laplace methods) for solving non-linear and non-homogeneous fractional differential equations is proposed. In particular, the proposed method was used to analyze the fractional Duffing oscillator. The technique employed can be used to analyze other non-linear fractional differential equations and can also be extended to non-linear partial fractional differential equations. The performance of this method is reliable, effective, and gives more general solutions.

Palavras-chave : Fractional calculus; fractional Duffing oscillator; analytical method; 02.30.Jr; 02.30.Vv; 41.20.Cv; 45.10.Hj.

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