Ulam stability for fractional differential equations in the sense of Caputo operator

In this paper, we consider the Hyers-Ulam stability for the following fractional differential equations, in the sense ofcomplex Caputo fractional derivative defined, in the unit disk: cD zf(z)=G(f(z), cDázf(z),zf‘(z);z) 0<á<1< <2 . Furthermore,a generalization of the admissible functions in complex Banach spaces is imposed and applications are illustrated.