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 Dz z f z G f z z D f z z E D 0 <1< E < 2, in a complex Banach space. Furthermore, a generalization of the admissible functions in complex Banach spaces is imposed and applications are illustrated
