Open Access
2013 A Collocation Method for Solving Fractional Riccati Differential Equation
Yalçın Öztürk, Ayşe Anapalı, Mustafa Gülsu, Mehmet Sezer
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/598083


We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term. This method is based on first taking the truncated Taylor expansions of the solution function in the fractional Riccati differential equation and then substituting their matrix forms into the equation. Using collocation points, we have the system of nonlinear algebraic equation. Then, we solve the system of nonlinear algebraic equation using Maple 13, and we have the coefficients of the truncated Taylor sum. In addition, illustrative examples are presented to demonstrate the effectiveness of the proposed method. Comparing the methodology with some known techniques shows that the present approach is relatively easy and highly accurate.


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Yalçın Öztürk. Ayşe Anapalı. Mustafa Gülsu. Mehmet Sezer. "A Collocation Method for Solving Fractional Riccati Differential Equation." J. Appl. Math. 2013 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1305.34014
MathSciNet: MR3092006
Digital Object Identifier: 10.1155/2013/598083

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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