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New Recursive Approximations for Variable-Order Fractional Operators with Applications

dc.contributor.authorZaky, Mahmoud A.
dc.contributor.authorDoha, Eid H.
dc.contributor.authorTaha, Taha M.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-25T11:39:36Z
dc.date.available2019-12-25T11:39:36Z
dc.date.issued2018
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractTo broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation. In this paper, we develop Laguerre spectral collocation methods for solving variable-order fractional initial value problems on the half line. Specifically, we derive three-term recurrence relations to efficiently calculate the variable-order fractional integrals and derivatives of the modified generalized Laguerre polynomials, which lead to the corresponding fractional differentiation matrices that will be used to construct the collocation methods. Comparison with other existing methods shows the superior accuracy of the proposed spectral collocation methods.en_US
dc.identifier.citationZaky, Mahmoud A...et al. (2018). "New Recursive Approximations for Variable-Order Fractional Operators with Applications", Mathematical Modelling and Analysis, Vol. 23, No. 2, pp. 227-239.en_US
dc.identifier.doi10.3846/mma.2018.015
dc.identifier.endpage239en_US
dc.identifier.issn1392-6292
dc.identifier.issue2en_US
dc.identifier.startpage227en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2263
dc.identifier.volume23en_US
dc.language.isoenen_US
dc.publisherVilnius Gediminas Tech Univen_US
dc.relation.ispartofMathematical Modelling and Analysisen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSpectral Collocation Methodsen_US
dc.subjectModified Generalized Laguerre Polynomialsen_US
dc.subjectVariable Order Fractional Integrals and Derivativesen_US
dc.subjectBagley-Torvik Equationen_US
dc.titleNew Recursive Approximations for Variable-Order Fractional Operators with Applicationstr_TR
dc.titleNew Recursive Approximations for Variable-Order Fractional Operators With Applicationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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