Analytical Solutions of the Electrical RLC Circuit via Liouville-Caputo Operators with Local and Non-Local Kernels

作者：Francisco Gomez Aguilar Jose; Fabian Morales Delgado Victor; Antonio Taneco Hernandez Marco; Baleanu Dumitru; Fabricio Escobar Jimenez Ricardo; Mohamed Al Qurashi Maysaa

来源：Entropy, 2016, 18(8): 402.

DOI：10.3390/e18080402

• fractional-order circuits
• Liouville-Caputo fractional operator
• Caputo-Fabrizio fractional operator
• Atangana-Baleanu fractional operator

In this work we obtain analytical solutions for the electrical RLC circuit model defined with Liouville-Caputo, Caputo-Fabrizio and the new fractional derivative based in the Mittag-Leffler function. Numerical simulations of alternative models are presented for evaluating the effectiveness of these representations. Different source terms are considered in the fractional differential equations. The classical behaviors are recovered when the fractional order a is equal to 1.

• 出版日期2016-8