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Efficient generalized laguerre-spectral methods for solving multi-term fractional differential equations on the half line

dc.contributor.authorBhrawy, A. H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAssas, L. M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-06-02T07:01:13Z
dc.date.available2020-06-02T07:01:13Z
dc.date.issued2014
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe main purpose of this paper is to provide an efficient numerical approach for the fractional differential equations (FDEs) on the half line with constant coefficients using a generalized Laguerre tau (GLT) method. The fractional derivatives are described in the Caputo sense. We state and prove a new formula expressing explicitly the derivatives of generalized Laguerre polynomials of any degree and for any fractional order in terms of generalized Laguerre polynomials themselves. We develop also a direct solution technique for solving the linear multi-order FDEs with constant coefficients using a spectral tau method. The spatial approximation with its fractional-order derivatives described in the Caputo sense are based on generalized Laguerre polynomials L-i((alpha))(x) with x is an element of Lambda = (0,infinity) and i denoting the polynomial degree.en_US
dc.description.publishedMonth5
dc.identifier.citationBhrawy, AH.; Baleanu, Dumitru; Assas, LM., "Efficient generalized laguerre-spectral methods for solving multi-term fractional differential equations on the half line" Journal Of Vibration And Control, Vol.20, No.7, pp.973-985, (2014).en_US
dc.identifier.doi10.1177/1077546313482959
dc.identifier.endpage985en_US
dc.identifier.issn1077-5463
dc.identifier.issue7en_US
dc.identifier.startpage973en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3995
dc.identifier.volume20en_US
dc.language.isoenen_US
dc.publisherSage Publications LTDen_US
dc.relation.ispartofJournal Of Vibration And Controlen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTau Methoden_US
dc.subjectGeneralized Laguerre-Gauss Quadratureen_US
dc.subjectGeneralized Laguerre Polynomialsen_US
dc.subjectMulti-Term Fractional Differential Equationsen_US
dc.subjectCaputo Derivativeen_US
dc.titleEfficient generalized laguerre-spectral methods for solving multi-term fractional differential equations on the half linetr_TR
dc.titleEfficient Generalized Laguerre-Spectral Methods for Solving Multi-Term Fractional Differential Equations on the Half Lineen_US
dc.typeArticleen_US
dspace.entity.typePublication

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