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Generalized Differential Transform Method: Application to Differential Equations of Fractional Order

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dc.authorscopusid12244734200
dc.authorscopusid8842321100
dc.authorscopusid16303495600
dc.contributor.authorOdibat, Z.
dc.contributor.authorMomani, S.
dc.contributor.authorErtürk, V.S.
dc.date.accessioned2020-06-21T15:14:17Z
dc.date.available2020-06-21T15:14:17Z
dc.date.issued2008
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Odibat] Zaid M., Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa Applied University, Salt, Al-Balqa, Jordan; [Momani] Shaher M., Department of Mathematics, Mutah University, Karak, Karak, Jordan; [Ertürk] Vedat Suat, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkeyen_US
dc.description.abstractIn this paper we propose a new generalization of the one-dimensional differential transform method that will extend the application of the method to differential equations of fractional order. The new generalization is based on generalized Taylor's formula and Caputo fractional derivative. Several illustrative examples are given to demonstrate the effectiveness of the obtained results. The new generalization introduces a promising tool for many linear and nonlinear models containing fractional derivatives. © 2007 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2007.07.068
dc.identifier.endpage477en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-39449122795
dc.identifier.scopusqualityQ1
dc.identifier.startpage467en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2007.07.068
dc.identifier.volume197en_US
dc.identifier.wosWOS:000254254200001
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.journalApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectDifferential Transform Methoden_US
dc.subjectGeneralized Taylor Formulaen_US
dc.titleGeneralized Differential Transform Method: Application to Differential Equations of Fractional Orderen_US
dc.typeArticleen_US
dspace.entity.typePublication

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