A Numerical Method for Delayed Fractional-Order Differential Equations

Zhen Wang

Journal of Applied Mathematics, 2013, vol. 2013, 1-7

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:256071

DOI: 10.1155/2013/256071

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