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Collocation methods for fractional differential equations involving non-singular kernel

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Shiri, B.
dc.date.accessioned 2020-03-18T13:48:45Z
dc.date.available 2020-03-18T13:48:45Z
dc.date.issued 2018-11
dc.identifier.citation Baleanu, D.; Shiri, B., "Collocation methods for fractional differential equations involving non-singular kernel", Chaos Solitons & Fractals, Vol. 116, pp. 136-145, (2018). tr_TR
dc.identifier.issn 0960-0779
dc.identifier.uri http://hdl.handle.net/20.500.12416/2681
dc.description.abstract A 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science LTD tr_TR
dc.relation.isversionof 10.1016/j.chaos.2018.09.020 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject System of Fractional Differential Equations tr_TR
dc.subject Discontinuous Piecewise Polynomial Spaces tr_TR
dc.subject Operational Matrices tr_TR
dc.subject Mittag-Leffler Function tr_TR
dc.subject Collocation Methods tr_TR
dc.subject Diffusion Equations tr_TR
dc.title Collocation methods for fractional differential equations involving non-singular kernel tr_TR
dc.type article tr_TR
dc.relation.journal Chaos Solitons & Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 116 tr_TR
dc.identifier.startpage 136 tr_TR
dc.identifier.endpage 145 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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