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On stability for a class of fractional differential equations in complex Banach spaces.
Author(s):
1. Rabha W Ibrahim: Institute of Mathematical Sciences University Malaya, 50603 Kuala Lumpur, Malaysia
Abstract:
In this paper, we consider the Hyers-Ulam stability for the following fractional differential equations in sense of Caputo fractional derivative defined in the unit disk:c ( ) = ( ( ), c ( ); ), z z D?? f z G f z z D?? f z z 0 <?? <1< ?? < 2, in a complex Banach space. Furthermore, a generalization of the admissible functions in complex Banach spaces is imposed and applications are illustrated. 
Page(s): 247-252
DOI: DOI not available
Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 50, Issue: 3, Year: 2013
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