The Fractional Complex Step Method
Joint Authors
Jalab, Hamid A.
Ibrahim, Rabha W.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ibrahim, Rabha W.& Jalab, Hamid A.. 2013. The Fractional Complex Step Method. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-477834
Modern Language Association (MLA)
Ibrahim, Rabha W.& Jalab, Hamid A.. The Fractional Complex Step Method. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-477834
American Medical Association (AMA)
Ibrahim, Rabha W.& Jalab, Hamid A.. The Fractional Complex Step Method. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-477834
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477834