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A Numerical Method for Delayed Fractional-Order Differential Equations: Based on G-L Definition |
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PP: 525-529 |
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Author(s) |
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Zhen Wang,
Xia Huang,
Jianping Zhou,
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Abstract |
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| In this paper, 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 the Gr¨unwald-Letnikov derivative. The
detailed error analysis for this algorithm is given, meanwhile, the convergence of the iteration algorithm is proved. Compared with the
exact analytical solution, a numerical example is provided to illustrate the effectiveness of the proposed method. |
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