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The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations With The Riemann-Liouville Derivative

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Alipour, Mohsen
dc.contributor.author Jafari, Hossein
dc.date.accessioned 2020-04-02T19:57:53Z
dc.date.available 2020-04-02T19:57:53Z
dc.date.issued 2013
dc.identifier.citation Baleanu, Dumitru; Alipour, Mohsen; Jafari, Hossein, "The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative", Abstract and Applied Analysis, (2013) tr_TR
dc.identifier.issn 1085-3375
dc.identifier.issn 1687-0409
dc.identifier.uri http://hdl.handle.net/20.500.12416/2858
dc.description.abstract We obtain the approximate analytical solution for the fractional quadratic Riccati differential equation with the Riemann-Liouville derivative by using the Bernstein polynomials (BPs) operational matrices. In this method, we use the operational matrix for fractional integration in the Riemann-Liouville sense. Then by using this matrix and operational matrix of product, we reduce the problem to a system of algebraic equations that can be solved easily. The efficiency and accuracy of the proposed method are illustrated by several examples. tr_TR
dc.language.iso eng tr_TR
dc.publisher Hindawi LTD tr_TR
dc.relation.isversionof 10.1155/2013/461970 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Homotopy Perturbation Method tr_TR
dc.subject Decomposition tr_TR
dc.title The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations With The Riemann-Liouville Derivative tr_TR
dc.type article tr_TR
dc.relation.journal Abstract and Applied Analysis tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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