Fractional operator without singular kernel: Applications to linear electrical circuits

被引：32

作者：

Morales-Delgado, Victor F. ^{[1
]}

Gomez-Aguilar, Jose F. ^{[2
]}

Taneco-Hernandez, Marco A. ^{[1
]}

Escobar-Jimenez, Ricardo F. ^{[3
]}

机构：

[1] Univ Autonoma Guerrero, Fac Matemat, Chilpancingo, Mexico

[2] CENIDET, CONACyT, Tecnol Nacl Mexico, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico

[3] CENIDET, Tecnol Nacl Mexico, Cuernavaca, Morelos, Mexico

来源：

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS | 2018年 / 46卷 / 12期

关键词：

Caputo-Fabrizio fractional operator; exponential decay law kernel; fractional linear electrical circuits; Laplace transform; SYSTEMS; VIBRATIONS;

D O I：

10.1002/cta.2564

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents the analytical solutions of fractional linear electrical systems by using the Caputo-Fabrizio fractional-order operator in Liouville-Caputo sense. This novel operator involves an exponential kernel without singularities. The fractional equations were solved analytically by using the properties of Laplace transform operator, as well as the convolution theorem. To validate the analytical solutions, numerical simulations were carried out.

引用

页码：2394 / 2419

页数：26

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