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.authorAcan, Omer
dc.contributor.authorFirat, Omer
dc.contributor.authorKeskin, Yildiray
dc.date.accessioned2024-12-24T19:28:26Z
dc.date.available2024-12-24T19:28:26Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
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.
dc.identifier.doi10.1080/17455030.2018.1502485
dc.identifier.endpage268
dc.identifier.issn1745-5030
dc.identifier.issn1745-5049
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85052065799
dc.identifier.scopusqualityN/A
dc.identifier.startpage250
dc.identifier.urihttps://doi.org/10.1080/17455030.2018.1502485
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7046
dc.identifier.volume30
dc.identifier.wosWOS:000522659900005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofWaves in Random and Complex Media
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectConformable fractional derivative
dc.subjectfractional derivative
dc.subjectvariational iteration method
dc.subjectreduced differential transform method
dc.subjecthomotopy analysis method
dc.subjectfractional partial differential equations
dc.titleConformable variational iteration method, conformable fractional reduced differential transform method and conformable homotopy analysis method for non-linear fractional partial differential equations
dc.typeArticle

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