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

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dc.contributor.author Bhrawy, A. H.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Assas, L. M.
dc.date.accessioned 2020-06-02T07:01:13Z
dc.date.available 2020-06-02T07:01:13Z
dc.date.issued 2014-05
dc.identifier.citation Bhrawy, 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). tr_TR
dc.identifier.issn 1077-5463
dc.identifier.uri http://hdl.handle.net/20.500.12416/3995
dc.description.abstract The 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Sage Publications LTD tr_TR
dc.relation.isversionof 10.1177/1077546313482959 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Tau Method tr_TR
dc.subject Generalized Laguerre-Gauss Quadrature tr_TR
dc.subject Generalized Laguerre Polynomials tr_TR
dc.subject Multi-Term Fractional Differential Equations tr_TR
dc.subject Caputo Derivative tr_TR
dc.title Efficient generalized laguerre-spectral methods for solving multi-term fractional differential equations on the half line tr_TR
dc.type article tr_TR
dc.relation.journal Journal Of Vibration And Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 20 tr_TR
dc.identifier.issue 7 tr_TR
dc.identifier.startpage 973 tr_TR
dc.identifier.endpage 985 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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