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2013 A Numerical Method for Delayed Fractional-Order Differential Equations
Zhen Wang
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/256071

Abstract

A numerical method for nonlinear fractional-order differential equations with constant or time-varying delay is devised. The order here is an arbitrary positive real number, and the differential operator is with the Caputo definition. The general Adams-Bashforth-Moulton method combined with the linear interpolation method is employed to approximate the delayed fractional-order differential equations. Meanwhile, the detailed error analysis for this algorithm is given. In order to compare with the exact analytical solution, a numerical example is provided to illustrate the effectiveness of the proposed method.

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Zhen Wang. "A Numerical Method for Delayed Fractional-Order Differential Equations." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/256071

Information

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

zbMATH: 1266.65118
MathSciNet: MR3056227
Digital Object Identifier: 10.1155/2013/256071

Rights: Copyright © 2013 Hindawi

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