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New Discretization of Caputo-Fabrizio Derivative

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dc.contributor.author Akman, Tuğba
dc.contributor.author Yıldız, Burak
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-27T07:42:33Z
dc.date.available 2020-03-27T07:42:33Z
dc.date.issued 2018-07
dc.identifier.citation Akman, Tugba; Yildiz, Burak; Baleanu, Dumitru, "New discretization of Caputo-Fabrizio derivative", Computational & Applied Mathematics, Vol. 37, No.3, pp. 3307-3333, (2018) tr_TR
dc.identifier.issn 0101-8205
dc.identifier.uri http://hdl.handle.net/20.500.12416/2761
dc.description.abstract We derive a numerical approximation, namely L1-2 formula, to the Caputo-Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1-2 formulas using Lagrange interpolation, respectively. We compute Caputo-Fabrizio derivatives of some known functions both theoretically and numerically. In addition, we solve non/linear sub-diffusion equations to test theoretical findings. Numerical results confirm the theoretically observed convergence rates. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Heidelberg tr_TR
dc.relation.isversionof 10.1007/s40314-017-0514-1 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Caputo-Fabrizio Derivative tr_TR
dc.subject Fractional Differentiation tr_TR
dc.subject L1 Formula tr_TR
dc.subject L1-2 Formula tr_TR
dc.subject Quadratic İnterpolation tr_TR
dc.title New Discretization of Caputo-Fabrizio Derivative tr_TR
dc.type article tr_TR
dc.relation.journal Computational & Applied Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 37 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 3307 tr_TR
dc.identifier.endpage 3333 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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