Journal of Applied Mathematics
Volume 2012 (2012), Article ID 678174, 11 pages
Research Article

Numerical Solution for Complex Systems of Fractional Order

Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia

Received 18 October 2012; Accepted 4 December 2012

Academic Editor: Turgut Öziş

Copyright © 2012 Rabha W. Ibrahim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By using a complex transform, we impose a system of fractional order in the sense of Riemann-Liouville fractional operators. The analytic solution for this system is discussed. Here, we introduce a method of homotopy perturbation to obtain the approximate solutions. Moreover, applications are illustrated.