The Fractional Complex Step Method

作者：Ibrahim Rabha W^*; Jalab Hamid A

来源：Discrete Dynamics in Nature and Society, 2013, 2013: 515973.

DOI：10.1155/2013/515973

It is well known that the complex step method is a tool that calculates derivatives by imposing a complex step in a strict sense. We extended the method by employing the fractional calculus differential operator in this paper. The fractional calculus can be taken in the sense of the Caputo operator, Riemann-Liouville operator, and so forth. Furthermore, we derived several approximations for computing the fractional order derivatives. Stability of the generalized fractional complex step approximations is demonstrated for an analytic test function.

• 出版日期2013