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.
Citation
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
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