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
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spelling doaj-946449e4a97141f5a009108adc8a62912020-11-24T21:50:06ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2017-04-0125225226110.1016/j.joems.2017.01.007Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference methodW.K. Zahra0M.M. Hikal1Taher A. Bahnasy2Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, EgyptDepartment of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, EgyptDepartment of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, EgyptIn 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.http://www.sciencedirect.com/science/article/pii/S1110256X1730007XFractional systemsCaputo fractional derivativeFractional elementsLinear circuitsLaplace transformGrünwald–Letnikov definition
collection DOAJ
language English
format Article
sources DOAJ
author W.K. Zahra
M.M. Hikal
Taher A. Bahnasy
spellingShingle W.K. Zahra
M.M. Hikal
Taher A. Bahnasy
Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method
Journal of the Egyptian Mathematical Society
Fractional systems
Caputo fractional derivative
Fractional elements
Linear circuits
Laplace transform
Grünwald–Letnikov definition
author_facet W.K. Zahra
M.M. Hikal
Taher A. Bahnasy
author_sort W.K. Zahra
title Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method
title_short Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method
title_full Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method
title_fullStr Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method
title_full_unstemmed Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method
title_sort solutions of fractional order electrical circuits via laplace transform and nonstandard finite difference method
publisher SpringerOpen
series Journal of the Egyptian Mathematical Society
issn 1110-256X
publishDate 2017-04-01
description 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.
topic Fractional systems
Caputo fractional derivative
Fractional elements
Linear circuits
Laplace transform
Grünwald–Letnikov definition
url http://www.sciencedirect.com/science/article/pii/S1110256X1730007X
work_keys_str_mv AT wkzahra solutionsoffractionalorderelectricalcircuitsvialaplacetransformandnonstandardfinitedifferencemethod
AT mmhikal solutionsoffractionalorderelectricalcircuitsvialaplacetransformandnonstandardfinitedifferencemethod
AT taherabahnasy solutionsoffractionalorderelectricalcircuitsvialaplacetransformandnonstandardfinitedifferencemethod
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