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

dc.contributor.authorBhrawy, A. H.
dc.contributor.authorAlhamed, Yahia A.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAl-Zahrani, A. A.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-05-15T08:57:07Z
dc.date.available2020-05-15T08:57:07Z
dc.date.issued2014
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractFractional-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.en_US
dc.description.publishedMonth12
dc.identifier.citationBhrawy, 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.en_US
dc.identifier.doi10.2478/s13540-014-0218-9
dc.identifier.endpage1157en_US
dc.identifier.issn1311-0454
dc.identifier.issue4en_US
dc.identifier.startpage1137en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3836
dc.identifier.volume17en_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter GMBHen_US
dc.relation.ispartofFractional Calculus and Applied Analysisen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMulti-Term Fractional Differential Equationsen_US
dc.subjectFractional-Order Generalized Laguerre Orthogonal Functionsen_US
dc.subjectGeneralized Laguerre Polynomialsen_US
dc.subjectTau Methoden_US
dc.subjectPseudo-Spectral Methodsen_US
dc.titleNew spectral techniques for systems of fractional differential equations using fractional-order generalized laguerre orthogonal functionstr_TR
dc.titleNew Spectral Techniques for Systems of Fractional Differential Equations Using Fractional-Order Generalized Laguerre Orthogonal Functionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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