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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 613270, 10 pages
doi:10.1155/2012/613270
Research Article
Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk
Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia
Received 11 January 2012; Accepted 18 April 2012
Academic Editor: Bing Xu
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.
Abstract
We prove the Ulam-Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non-linear cases. The fractional operators are taken in sense of Srivastava-Owa operators.