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arXiv · 1602.03541

Mathematical modelling of fractional order circuits

Miguel Angel Moreles·Rafael Lainez
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Abstract

In this work a classical derivation of fractional order circuits models is presented. Generalized constitutive equations in terms of fractional Riemann-Liouville derivatives are introduced in the Maxwell's equations. Next the Kirchhoff voltage law is applied in a RCL circuit configuration. A fractional differential equation model is obtained with Caputo derivatives. Thus standard initial conditions apply.

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Miguel Angel Moreles, Rafael Lainez. 2016-01-21. Mathematical modelling of fractional order circuits. https://arxiv.org/abs/1602.03541

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