Analysis of fractional Duffing oscillator
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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2020
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| _version_ | 1876444630920200192 |
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| author | S.C. Eze |
| author_facet | S.C. Eze |
| contents | Analysis of fractional Duffing oscillator S.C. Eze Física, Astronomía y Matemáticas analytical method Fractional calculus fractional Duffing oscillator 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. 2020 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082932008 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.66 |
| format | Artículo científico |
| id | redalyc_57082932008 |
| institution | Redalyc |
| language | en |
| publishDate | 2020 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Analysis of fractional Duffing oscillator S.C. Eze Física, Astronomía y Matemáticas analytical method Fractional calculus fractional Duffing oscillator Analysis of fractional Duffing oscillator S.C. Eze Física, Astronomía y Matemáticas analytical method Fractional calculus fractional Duffing oscillator 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. 2020 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082932008 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.66 |
| title | Analysis of fractional Duffing oscillator |
| topic | Física, Astronomía y Matemáticas analytical method Fractional calculus fractional Duffing oscillator |
| url | https://www.redalyc.org/articulo.oa?id=57082932008 |