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dc.contributor.authorOgrekci, Suleyman
dc.date.accessioned2019-09-01T13:05:56Z
dc.date.available2019-09-01T13:05:56Z
dc.date.issued2015
dc.identifier.issn1687-9120
dc.identifier.issn1687-9139
dc.identifier.urihttps://dx.doi.org/10.1155/2015/507970
dc.identifier.urihttps://hdl.handle.net/20.500.12450/1377
dc.descriptionWOS: 000353151200001en_US
dc.description.abstractWe propose an efficient analytic method for solving nonlinear differential equations of fractional order. The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. A new technique for calculating the generalized Taylor series coefficients (also known as "generalized differential transforms," GDTs) of nonlinear functions and a new approach of the generalized Taylor series method (GTSM) are presented. This new method offers a simple algorithm for computing GDTs of nonlinear functions and avoids massive computational work that usually arises in the standard method. Several illustrative examples are demonstrated to show effectiveness of the proposed method.en_US
dc.language.isoengen_US
dc.publisherHINDAWI PUBLISHING CORPen_US
dc.relation.isversionof10.1155/2015/507970en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleGeneralized Taylor Series Method for Solving Nonlinear Fractional Differential Equations with Modified Riemann-Liouville Derivativeen_US
dc.typearticleen_US
dc.relation.journalADVANCES IN MATHEMATICAL PHYSICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.department-tempAmasya Univ, Sci & Arts Fac, TR-05000 Amasya, Turkeyen_US


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