Abstract and Applied Analysis
Volume 2012 (2012), Article ID 814759, 15 pages
Research Article

Complex Transforms for Systems of Fractional Differential Equations

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

Received 8 August 2012; Revised 11 October 2012; Accepted 11 October 2012

Academic Editor: Elena Litsyn

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.


We provide a complex transform that maps the complex fractional differential equation into a system of fractional differential equations. The homogeneous and nonhomogeneous cases for equivalence equations are discussed and also nonequivalence equations are studied. Moreover, the existence and uniqueness of solutions are established and applications are illustrated.