Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5011503 | Communications in Nonlinear Science and Numerical Simulation | 2017 | 8 Pages |
Abstract
In this work a classical derivation of fractional order circuits models is presented. Generalised constitutive equations in terms of fractional Riemann-Liouville derivatives are introduced in the Maxwell's equations for each circuit element. Next the Kirchhoff voltage law is applied in a RCL circuit configuration. It is shown that from basic properties of Fractional Calculus, a fractional differential equation model with Caputo derivatives is obtained. Thus standard initial conditions apply. Finally, models for bioimpedance are revisited.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Miguel Angel Moreles, Rafael Lainez,