Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative

被引：131
作者：
Alizadeh, Shahram [1 ]
Baleanu, Dumitru [2 ,3 ]
Rezapour, Shahram [1 ]
机构：
[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Caputo-Fabrizio derivative; Fractional differential; Transient response;
D O I：
10.1186/s13662-020-2527-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the transient response of the parallel RCL circuit with Caputo-Fabrizio derivative is solved by Laplace transforms. Also, the graphs of the obtained solutions for the different orders of the fractional derivatives are compared with each other and with the usual solutions. Finally, they are compared with practical and laboratory results.
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收藏
页数：19
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