The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations With the Riemann-Liouville Derivative
| dc.contributor.author | Alipour, Mohsen | |
| dc.contributor.author | Jafari, Hossein | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-04-02T19:57:53Z | |
| dc.date.accessioned | 2025-09-18T16:07:16Z | |
| dc.date.available | 2020-04-02T19:57:53Z | |
| dc.date.available | 2025-09-18T16:07:16Z | |
| dc.date.issued | 2013 | |
| dc.description | Jafari, Hossein/0000-0001-6807-6675 | en_US |
| 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. | en_US |
| 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) | en_US |
| dc.identifier.doi | 10.1155/2013/461970 | |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.issn | 1687-0409 | |
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| dc.identifier.uri | https://doi.org/10.1155/2013/461970 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14718 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Abstract and Applied Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations With the Riemann-Liouville Derivative | en_US |
| dc.title | The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations With The Riemann-Liouville Derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Alipour, Mohsen/Abg-9213-2021 | |
| gdc.author.wosid | Jafari, Hossein/E-9912-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest 077125, Romania; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Alipour, Mohsen] Babol Univ Technol, Fac Basic Sci, Babol Sar, Iran; [Jafari, Hossein] Univ Mazandaran, Dept Math, Babol Sar, Iran | en_US |
| gdc.description.endpage | 7 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
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