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Numerical comparison of methods for solving fractional differential-algebraic equations (FDAEs)

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dc.contributor.authorIbis, Birol
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2026-06-27T13:14:06Z
dc.date.issued2011
dc.description.abstractIn this paper, the variational iteration method (VIM) and the Adomian decomposition method (ADM) are implemented to give approximate solutions for fractional differential-algebraic equations (FDAEs). Both methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of fractional differential equations. This paper presents a numerical comparison between these two methods and the homotopy analysis method (HAM) for solving FDAEs. Numerical results reveal that the VIM and the ADM are quite accurate and applicable. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.en
dc.description.urihttps://doi.org/10.1016/j.camwa.2011.08.043
dc.identifier.doi10.1016/j.camwa.2011.08.043
dc.identifier.endpage3278
dc.identifier.issn0898-1221
dc.identifier.issue8
dc.identifier.startpage3270
dc.identifier.urihttps://hdl.handle.net/20.500.14981/50848
dc.identifier.volume62
dc.identifier.wos000296213200037
dc.language.isoeng
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartofCOMPUTERS & MATHEMATICS WITH APPLICATIONS
dc.subjectFractional differential-algebraic equations (FDAEs)
dc.subjectVariational iteration method (VIM)
dc.subjectAdomian decomposition method (ADM)
dc.subjectHomotopy analysis method (HAM)
dc.subjectADOMIAN DECOMPOSITION METHOD
dc.subjectVARIATIONAL ITERATION METHOD
dc.subjectNONLINEAR OPERATORS
dc.subjectCONVERGENCE
dc.subjectDERIVATIVES
dc.subjectMathematics
dc.titleNumerical comparison of methods for solving fractional differential-algebraic equations (FDAEs)
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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