Efficient generalized laguerre-spectral methods for solving multi-term fractional differential equations on the half line
dc.contributor.author | Bhrawy, A. H. | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Assas, L. M. | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2020-06-02T07:01:13Z | |
dc.date.available | 2020-06-02T07:01:13Z | |
dc.date.issued | 2014 | |
dc.department | Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
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. | en_US |
dc.description.publishedMonth | 5 | |
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). | en_US |
dc.identifier.doi | 10.1177/1077546313482959 | |
dc.identifier.endpage | 985 | en_US |
dc.identifier.issn | 1077-5463 | |
dc.identifier.issue | 7 | en_US |
dc.identifier.startpage | 973 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/3995 | |
dc.identifier.volume | 20 | en_US |
dc.language.iso | en | en_US |
dc.publisher | Sage Publications LTD | en_US |
dc.relation.ispartof | Journal Of Vibration And Control | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Tau Method | en_US |
dc.subject | Generalized Laguerre-Gauss Quadrature | en_US |
dc.subject | Generalized Laguerre Polynomials | en_US |
dc.subject | Multi-Term Fractional Differential Equations | en_US |
dc.subject | Caputo Derivative | en_US |
dc.title | Efficient generalized laguerre-spectral methods for solving multi-term fractional differential equations on the half line | tr_TR |
dc.title | Efficient Generalized Laguerre-Spectral Methods for Solving Multi-Term Fractional Differential Equations on the Half Line | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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