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  • 标题:Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel
  • 本地全文:下载
  • 作者:Abdon Atangana ; Badr Saad T Alkahtani
  • 期刊名称:Advances in Mechanical Engineering
  • 印刷版ISSN:1687-8140
  • 电子版ISSN:1687-8140
  • 出版年度:2015
  • 卷号:7
  • 期号:6
  • DOI:10.1177/1687814015591937
  • 语种:English
  • 出版社:Sage Publications Ltd.
  • 摘要:We presented the model of resistance, inductance, capacitance circuit using a novel derivative with fractional order that was recently proposed by Caputo and Fabrizio. The derivative possesses more important characteristics that are very useful in modelling. In this article, we proposed a novel translation from ordinary equation to fractional differential equation. Using this novel translation, we modified the resistance, inductance, capacitance electricity model. We solved analytically the modified equation using the Laplace transform method. We presented numerical results for different values of the fractional order. We observed that this solution depends on the fractional order.
  • 关键词:RLC circuit model; Caputo–Fabrizio derivative; Laplace transform
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