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  • 标题:Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel
  • 本地全文:下载
  • 作者:Abdon Atangana ; Juan Jose Nieto
  • 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:10
  • DOI:10.1177/1687814015613758
  • 语种:English
  • 出版社:Sage Publications Ltd.
  • 摘要:The numerical approximation of the Caputo–Fabrizio fractional derivative with fractional order between 1 and 2 is proposed in this work. Using the transition from ordinary derivative to fractional derivative, we modified the RLC circuit model. The Crank–Nicolson numerical scheme was used to solve the modified model. We present the stability analysis of the numerical scheme for solving the modified equation and some numerical simulations for different values of the order of derivation.
  • 关键词:Fractional derivative without singular kernel; numerical approximation; RLC circuit; stability analysis
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