文章基本信息

标题：Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel
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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