Solution of conformable fractional ordinary differential equations via differential transform method

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Özet

Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in (Abdeljawad, 2015). In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations.

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https://rdlopen.rawdatalibrary.net/r/gumushane/15209Resmi atıflarda kullanılan kalıcı adres
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https://doi.org/10.1016/j.ijleo.2016.10.031Yayıncı resmi DOI adresi
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134
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116
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AlanDeğerDil
dc.contributor.authorÜnal, Emrah
dc.contributor.authorGökdoğan, Ahmet
dc.date.accessioned2026-10-22T10:23:43.653658597Z
dc.date.available2026-10-22T10:23:43.653658597Z
dc.date.issued2017
dc.description.abstractRecently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in (Abdeljawad, 2015). In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations.
dc.identifier.doi10.1016/j.ijleo.2016.10.031
dc.identifier.endpage273
dc.identifier.issn0030-4026
dc.identifier.scopus2-s2.0-84992058851
dc.identifier.startpage264
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15209
dc.identifier.volume128
dc.identifier.wosWOS:000388050700034
dc.language.isoen
dc.publisherElsevier GmbH
dc.relation.ispartofOptik
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectConformable fractional derivative
dc.subjectConformable fractional differential transform method
dc.subjectConformable fractional ordinary differential equations
dc.subjectFractional power series
dc.subject.classificationOptics
dc.subject.otherDifferential equations
dc.subject.otherExponential functions
dc.subject.otherFlow measurement
dc.subject.otherDifferential transform method
dc.subject.otherFractional derivatives
dc.subject.otherFractional differential
dc.subject.otherFractional differential equations
dc.subject.otherFractional power
dc.subject.otherGronwall's inequality
dc.subject.otherIntegration by parts
dc.subject.otherPower series expansions
dc.subject.otherOrdinary differential equations
dc.titleSolution of conformable fractional ordinary differential equations via differential transform method
dc.typeArticle
rdl.citation.openalex140
rdl.citation.scopus134
rdl.citation.wos116
rdl.oa.statusgreen
rdl.oa.statuspreprint
rdl.oa.urlhttps://hdl.handle.net/20.500.12440/3753
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)