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New spectral techniques for systems of fractional differential equations using fractional-order generalized laguerre orthogonal functions

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dc.contributor.author Bhrawy, A. H.
dc.contributor.author Alhamed, Yahia A.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Al-Zahrani, A. A.
dc.date.accessioned 2020-05-15T08:57:07Z
dc.date.available 2020-05-15T08:57:07Z
dc.date.issued 2014-12
dc.identifier.citation Bhrawy, AH...et.al. (2014). "New spectral techniques for systems of fractional differential equations using fractional-order generalized laguerre orthogonal functions" Fractional Calculus and Applied Analysis, Vol.17, No.4, pp.1137-1157. tr_TR
dc.identifier.issn 1311-0454
dc.identifier.uri http://hdl.handle.net/20.500.12416/3836
dc.description.abstract Fractional-order generalized Laguerre functions (FGLFs) are proposed depends on the definition of generalized Laguerre polynomials. In addition, we derive a new formula expressing explicitly any Caputo fractional-order derivatives of FGLFs in terms of FGLFs themselves. We also propose a fractional-order generalized Laguerre tau technique in conjunction with the derived fractional-order derivative formula of FGLFs for solving Caputo type fractional differential equations (FDEs) of order nu (0 < nu < 1). The fractional-order generalized Laguerre pseudo-spectral approximation is investigated for solving nonlinear initial value problem of fractional order nu. The extension of the fractional-order generalized Laguerre pseudo-spectral method is given to solve systems of FDEs. We present the advantages of using the spectral schemes based on FGLFs and compare them with other methods. Several numerical example are implemented for FDEs and systems of FDEs including linear and nonlinear terms. We demonstrate the high accuracy and the efficiency of the proposed techniques. tr_TR
dc.language.iso eng tr_TR
dc.publisher Walter De Gruyter GMBH tr_TR
dc.relation.isversionof 10.2478/s13540-014-0218-9 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Multi-Term Fractional Differential Equations tr_TR
dc.subject Fractional-Order Generalized Laguerre Orthogonal Functions tr_TR
dc.subject Generalized Laguerre Polynomials tr_TR
dc.subject Tau Method tr_TR
dc.subject Pseudo-Spectral Methods tr_TR
dc.title New spectral techniques for systems of fractional differential equations using fractional-order generalized laguerre orthogonal functions tr_TR
dc.type article tr_TR
dc.relation.journal Fractional Calculus and Applied Analysis tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 17 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 1137 tr_TR
dc.identifier.endpage 1157 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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