Mathematical modelling of fractional order circuits
Classical Physics
2016-02-12 v1
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.
Keywords
Cite
@article{arxiv.1602.03541,
title = {Mathematical modelling of fractional order circuits},
author = {Miguel Angel Moreles and Rafael Lainez},
journal= {arXiv preprint arXiv:1602.03541},
year = {2016}
}