Alipour, MohsenJafari, HosseinBaleanu, Dumitru2020-04-022025-09-182020-04-022025-09-182013Baleanu, 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)1085-33751687-0409https://doi.org/10.1155/2013/461970https://hdl.handle.net/20.500.12416/14718Jafari, Hossein/0000-0001-6807-6675We 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.eninfo:eu-repo/semantics/openAccessArticle10.1155/2013/4619702-s2.0-84880180242