A Numerical Method to Solve Higher-Order Fractional Differential Equations
A Numerical Method to Solve Higher-Order Fractional Differential Equations
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DOI：
10.1007/s00009-015-0550-2
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发表时间：
2015-12
影响因子：
1.1
通讯作者：
R. Almeida;Nuno R. O. Bastos
中科院分区：
文献类型：
--
作者：
R. Almeida;Nuno R. O. Bastos
本文提出了一种新的求解分数阶常微分方程组的数值方法。在给定任意实数阶分数导数的情况下，我们给出了仅涉及整数阶导数的分数阶算子的近似公式。有了这一点，我们可以按照经典的FDE重写FDE，然后应用任何已知的技术。通过一些算例说明了该方法的准确性。
In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method.