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Numerical solutions of the fractional Fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods

dc.contributor.authorSaad, K. M.
dc.contributor.authorKhader, M. M.
dc.contributor.authorGomez-Aguilar, J. F.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-02-28T12:18:41Z
dc.date.available2020-02-28T12:18:41Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe main objective of this paper is to investigate an accurate numerical method for solving a biological fractional model via Atangana-Baleanu fractional derivative. We focused our attention on linear and nonlinear Fisher's equations. We use the spectral collocation method based on the Chebyshev approximations. This method reduced the nonlinear equations to a system of ordinary differential equations by using the properties of Chebyshev polynomials and then solved them by using the finite difference method. This is the first time that this method is used to solve nonlinear equations in Atangana-Baleanu sense. We present the effectiveness and accuracy of the proposed method by computing the absolute error and the residual error functions. The results show that the given procedure is an easy and efficient tool to investigate the solution of nonlinear equations with local and non-local singular kernels.en_US
dc.description.publishedMonth2
dc.identifier.citationSaad, K. M...et al. (2019). "Numerical solutions of the fractional Fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods", Chaos, Vol. 29, No. 2.en_US
dc.identifier.doi10.1063/1.5086771
dc.identifier.issn1054-1500
dc.identifier.issue2en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2570
dc.identifier.volume29en_US
dc.language.isoenen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofChaosen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleNumerical solutions of the fractional Fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methodstr_TR
dc.titleNumerical Solutions of the Fractional Fisher's Type Equations With Atangana-Baleanu Fractional Derivative by Using Spectral Collocation Methodsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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