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Approximate analytical solution for the fractional modified KdV by differential transform method

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dc.contributor.authorKurulay, Muhammet
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2026-06-27T12:52:13Z
dc.date.issued2010
dc.description.abstractIn this paper, the fractional modified Korteweg-de Vries equation (fmKdV) and fKdV are introduced by fractional derivatives. The approach rest mainly on two-dimensional differential transform method (DTM) which is one of the approximate methods. The method can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented. Crown Copyright (c) 2009 Published by Elsevier B.V. All rights reserved.en
dc.description.urihttps://doi.org/10.1016/j.cnsns.2009.07.014
dc.identifier.doi10.1016/j.cnsns.2009.07.014
dc.identifier.eissn1878-7274
dc.identifier.endpage1782
dc.identifier.issn1007-5704
dc.identifier.issue7
dc.identifier.startpage1777
dc.identifier.urihttps://hdl.handle.net/20.500.14981/47659
dc.identifier.volume15
dc.identifier.wos000275237700011
dc.language.isoeng
dc.publisherELSEVIER SCIENCE BV
dc.relation.ispartofCOMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
dc.subjectFractional differential equation
dc.subjectCaputo fractional derivative
dc.subjectDifferential transform method
dc.subjectfmKdV
dc.subjectfKdV
dc.subjectADOMIAN DECOMPOSITION METHOD
dc.subjectHOMOTOPY ANALYSIS METHOD
dc.subjectGENERALIZED TAYLORS FORMULA
dc.subjectDIFFUSION-WAVE EQUATION
dc.subjectNUMERICAL-SOLUTIONS
dc.subjectBURGERS EQUATION
dc.subjectORDER
dc.subjectSYSTEM
dc.subjectMathematics
dc.subjectMechanics
dc.subjectPhysics
dc.titleApproximate analytical solution for the fractional modified KdV by differential transform method
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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