Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method

Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method

In this article, fractional linear electrical systems are investigated. Analytical solutions of the fractional models are derived using Laplace transform method. Also, numerical simulations using Grünwald–Letnikov definition are proposed. Comparisons between fractional and classical electrical syste...

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Bibliographic Details
Main Authors: W.K. Zahra, M.M. Hikal, Taher A. Bahnasy
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Fractional systems
Caputo fractional derivative
Fractional elements
Linear circuits
Laplace transform
Grünwald–Letnikov definition
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X1730007X
Description
Summary:In this article, fractional linear electrical systems are investigated. Analytical solutions of the fractional models are derived using Laplace transform method. Also, numerical simulations using Grünwald–Letnikov definition are proposed. Comparisons between fractional and classical electrical systems are illustrated using Laplace transform and nonstandard finite difference method.
ISSN:1110-256X

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