%0 Journal Article
%T Ulam stability for fractional differential equations in the sense of Caputo operator
%A Rabha W. Ibrahim
%J Songklanakarin Journal of Science and Technology
%D 2012
%I Songkla University
%X 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), cD¨¢zf(z),zf¡®(z);z) 0<¨¢<1< <2 . Furthermore,a generalization of the admissible functions in complex Banach spaces is imposed and applications are illustrated.
%K analytic function
%K unit disk
%K Hyers-Ulam stability
%K admissible functions
%K fractional calculus
%K complex fractional differential equation
%K Caputo fractional derivative
%U http://rdo.psu.ac.th/sjstweb/journal/34-6/0597-0721-34-6-701-705.pdf