The approximate solution of high-order linear fractional differential equations with variable coefficients in terms of generalized taylor polynomials

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dc.contributor.authorKeskin Y.
dc.contributor.authorKarao?lu O.
dc.contributor.authorServi S.
dc.contributor.authorOturanç G.
dc.date.accessioned2020-03-26T18:22:21Z
dc.date.available2020-03-26T18:22:21Z
dc.date.issued2011
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn this paper, we have developed a new method called Generalized Taylor collocation method (GTCM), which is based on the Taylor collocation method, to give approximate solution of linear fractional differential equations with variable coefficients. Using the collocation points, this method transforms fractional differential equation to a matrix equation which corresponds to a system of linear algebraic equations with unknown Generalized Taylor coefficients. Generally, the method is based on computing the Generalized Taylor coefficients by means of the collocation points. This method does not require any intensive computation. Moreover, It is easy to write computer codes in any symbolic language. Hence, the proposed method can be used as effective alternative method for obtaining analytic and approximate solutions for fractional differential equations. The effectiveness of the proposed method is illustrated with some examples. The results show that the method is very effective and convenient in predicting the solutions of such problems. © Association for Scientific Research.en_US
dc.identifier.endpage629en_US
dc.identifier.issn1300686Xen_US
dc.identifier.issue3en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage617en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12395/27291
dc.identifier.volume16en_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofMathematical and Computational Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectAdomian decomposition methoden_US
dc.subjectFractional differential equationen_US
dc.subjectFractional differential transformation methoden_US
dc.subjectHomotopy perturbation methoden_US
dc.subjectTaylor collocation methoden_US
dc.subjectVariational iteration methoden_US
dc.titleThe approximate solution of high-order linear fractional differential equations with variable coefficients in terms of generalized taylor polynomialsen_US
dc.typeArticleen_US

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