Solving fractional circuits with sinusoidal sources by using the gcdAlpha method

Solving fractional circuits with sinusoidal sources by using the gcdAlpha method

This paper concerns a study being part of a larger project aiming at solutions of problems with fractional time derivatives. The presented study concerns gcdAlpha – a semi-analytical method for solving fractional differential equations. The basis of the method is recalled along with the general form...

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Bibliographic Details
Main Author: Sowa Marcin
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ITM Web of Conferences
Online Access:https://doi.org/10.1051/itmconf/20181901008
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spelling doaj-7b52a3749cd048d6bd3e55f68418ab1d2021-02-02T07:28:44ZengEDP SciencesITM Web of Conferences2271-20972018-01-01190100810.1051/itmconf/20181901008itmconf_zkwe2018_01008Solving fractional circuits with sinusoidal sources by using the gcdAlpha methodSowa MarcinThis paper concerns a study being part of a larger project aiming at solutions of problems with fractional time derivatives. The presented study concerns gcdAlpha – a semi-analytical method for solving fractional differential equations. The basis of the method is recalled along with the general form of problems it was designed to solve. Sources represented by sinusoidal time functions are considered and the general formulae for gcdAlpha are presented for this case. An exemplary circuit problem (containing fractional elements and a sinusoidal source) has been brought forward and solved. The results are compared with ones obtained through a solver basing on the numerical method called SubIval.https://doi.org/10.1051/itmconf/20181901008
collection DOAJ
language English
format Article
sources DOAJ
author Sowa Marcin
spellingShingle Sowa Marcin
Solving fractional circuits with sinusoidal sources by using the gcdAlpha method
ITM Web of Conferences
author_facet Sowa Marcin
author_sort Sowa Marcin
title Solving fractional circuits with sinusoidal sources by using the gcdAlpha method
title_short Solving fractional circuits with sinusoidal sources by using the gcdAlpha method
title_full Solving fractional circuits with sinusoidal sources by using the gcdAlpha method
title_fullStr Solving fractional circuits with sinusoidal sources by using the gcdAlpha method
title_full_unstemmed Solving fractional circuits with sinusoidal sources by using the gcdAlpha method
title_sort solving fractional circuits with sinusoidal sources by using the gcdalpha method
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2018-01-01
description This paper concerns a study being part of a larger project aiming at solutions of problems with fractional time derivatives. The presented study concerns gcdAlpha – a semi-analytical method for solving fractional differential equations. The basis of the method is recalled along with the general form of problems it was designed to solve. Sources represented by sinusoidal time functions are considered and the general formulae for gcdAlpha are presented for this case. An exemplary circuit problem (containing fractional elements and a sinusoidal source) has been brought forward and solved. The results are compared with ones obtained through a solver basing on the numerical method called SubIval.
url https://doi.org/10.1051/itmconf/20181901008
work_keys_str_mv AT sowamarcin solvingfractionalcircuitswithsinusoidalsourcesbyusingthegcdalphamethod
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