Rabha W. Ibrahim

pp. 701 - 705

Abstract

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