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

Baleanu, Dumitru; Alipour, Mohsen; Jafari, Hossein

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