تقرير
Fractional derivative order determination from harmonic oscillator damping factor
| العنوان: | Fractional derivative order determination from harmonic oscillator damping factor |
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| المؤلفون: | da Silva, Luís Felipe Alves, Júnior, Valdiney Rodrigues Pedrozo, Ferreira, João Vítor Batista |
| سنة النشر: | 2020 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Classical Physics |
| الوصف: | This article analysis differential equations which represents damped and fractional oscillators. First, it is shown that prior to using physical quantities in fractional calculus, it is imperative that they are turned dimensionless. Afterwards, approximated expressions that relate the two equations parameters for the case that the fractional order is close to an integer number are presented. Following, a numerical regression is made using power series expansion, and, also from fractional calculus, the fact that both equations cannot be equivalent is concluded. In the end, from the numerical regression data, the analytical approximated expressions that relate the two equations' parameters are refined. Comment: 10 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.cjph.2020.04.020 |
| الوصول الحر: | http://arxiv.org/abs/2002.02479Test |
| رقم الانضمام: | edsarx.2002.02479 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.cjph.2020.04.020 |
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