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

Dumitru Baleanu, Mohsen Alipour and Hossein Jafari

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:461970

DOI: 10.1155/2013/461970

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