Conformable variational iteration method, conformable fractional reduced differential transform method and conformable homotopy analysis method for non-linear fractional partial differential equations

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dc.contributor.authorAçan, Ömer
dc.contributor.authorFırat, Ömer
dc.contributor.authorKeskin, Yıldıray
dc.date.accessioned2020-03-26T20:11:44Z
dc.date.available2020-03-26T20:11:44Z
dc.date.issued2018
dc.departmentSelçuk Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we introduce conformable variational iteration method (C-VIM), conformable fractional reduced differential transform method (CFRDTM) and conformable homotopy analysis method (C-HAM). Between these methods, the C-VIM is introduced for the first time for fractional partial differential equations (FPDEs). These methods are new versions of well-known VIM, RDTM and HAM. In addition, above-mentioned techniques are based on new defined conformable fractional derivative to solve linear and non-linear conformable FPDEs. Firstly, we present some basic definitions and general algorithm for proposal methods to solve linear and non-linear FPDEs. Secondly, to understand better, the presented new methods are supported by some examples. Finally, the obtained results are illustrated by the aid of graphics and the tables. The applications show that these new techniques C-VIM, CFRDTM and C-HAM are extremely reliable and highly accurate and it provides a significant improvement in solving linear and non-linear FPDEs. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.en_US
dc.identifier.doi10.1080/17455030.2018.1502485en_US
dc.identifier.issn1745-5030en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://dx.doi.org/10.1080/17455030.2018.1502485
dc.identifier.urihttps://hdl.handle.net/20.500.12395/37180
dc.identifier.wosWOS:000522659900005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKeskin, Yıldıray
dc.language.isoenen_US
dc.publisherTaylor and Francis Ltd.en_US
dc.relation.ispartofWaves in Random and Complex Mediaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectConformable fractional derivativeen_US
dc.subjectFractional derivativeen_US
dc.subjectFractional partial differential equationsen_US
dc.subjectHomotopy analysis methoden_US
dc.subjectReduced differential transform methoden_US
dc.subjectVariational iteration methoden_US
dc.titleConformable variational iteration method, conformable fractional reduced differential transform method and conformable homotopy analysis method for non-linear fractional partial differential equationsen_US
dc.typeArticleen_US

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