AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
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发表时间：
2008
影响因子：
0.3
通讯作者：
Z. Odibat;S. Momani
中科院分区：
文献类型：
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作者：
Z. Odibat;S. Momani
我们提出并讨论了一种用于 D y(t )= f(t,y(t)), y(0) = y0 形式的初值问题数值求解的算法，其中 D y 是 Caputo 意义上的 y 阶导数，并且 0 < 1。该算法基于分数欧拉方法，可以将其视为经典欧拉方法的推广。算例结果表明该算法非常有效、方便。
We present and discuss an algorithm for the numerical solution of initial value problems of the form D y(t )= f(t,y(t)), y(0) = y0, where D y is the derivative of y of order in the sense of Caputo and 0 < 1. The algorithm is based on the fractional Euler's method which can be seen as a generalization of the classical Euler's method. Numerical examples are given and the results show that the present algorithm is very eective and convenient.