Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel

Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel

The numerical approximation of the Caputo–Fabrizio fractional derivative with fractional order between 1 and 2 is proposed in this work. Using the transition from ordinary derivative to fractional derivative, we modified the RLC circuit model. The Crank–Nicolson numerical scheme was used to solve th...

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Bibliographic Details
Published in:Advances in mechanical engineering Vol. 7; no. 10; p. 1
Main Authors: Atangana, Abdon, Nieto, Juan Jose
Format: Journal Article
Language:English
Published: London, England SAGE Publications 01-10-2015
Sage Publications Ltd
SAGE Publishing
Subjects:
RLC circuit
numerical approximation
stability analysis
Fractional derivative without singular kernel
Online Access:Get full text
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Summary:The numerical approximation of the Caputo–Fabrizio fractional derivative with fractional order between 1 and 2 is proposed in this work. Using the transition from ordinary derivative to fractional derivative, we modified the RLC circuit model. The Crank–Nicolson numerical scheme was used to solve the modified model. We present the stability analysis of the numerical scheme for solving the modified equation and some numerical simulations for different values of the order of derivation.
ISSN:1687-8132
1687-8140
DOI:10.1177/1687814015613758