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Collocation methods for fractional differential equations involving non-singular kernel

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorShiri, B.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-03-18T13:48:45Z
dc.date.available2020-03-18T13:48:45Z
dc.date.issued2018
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractA system of fractional differential equations involving non-singular Mittag-Leffler kernel is considered. This system is transformed to a type of weakly singular integral equations in which the weak singular kernel is involved with both the unknown and known functions. The regularity and existence of its solution is studied. The collocation methods on discontinuous piecewise polynomial space are considered. The convergence and superconvergence properties of the introduced methods are derived on graded meshes. Numerical results provided to show that our theoretical convergence bounds are often sharp and the introduced methods are efficient. Some comparisons and applications are discussed. (C) 2018 Elsevier Ltd. All rights reserved.en_US
dc.description.publishedMonth11
dc.identifier.citationBaleanu, D.; Shiri, B., "Collocation methods for fractional differential equations involving non-singular kernel", Chaos Solitons & Fractals, Vol. 116, pp. 136-145, (2018).en_US
dc.identifier.doi10.1016/j.chaos.2018.09.020
dc.identifier.endpage145en_US
dc.identifier.issn0960-0779
dc.identifier.startpage136en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2681
dc.identifier.volume116en_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science LTDen_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSystem of Fractional Differential Equationsen_US
dc.subjectDiscontinuous Piecewise Polynomial Spacesen_US
dc.subjectOperational Matricesen_US
dc.subjectMittag-Leffler Functionen_US
dc.subjectCollocation Methodsen_US
dc.subjectDiffusion Equationsen_US
dc.titleCollocation methods for fractional differential equations involving non-singular kerneltr_TR
dc.titleCollocation Methods for Fractional Differential Equations Involving Non-Singular Kernelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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