Ulam-Hyers Stability for Fractional Differential Equations in Quaternionic Analysis.

Using the fixed point method and the weakly Picard operator technique, we obtain some abstract Ulam-Hyers stability results of the initial value problem of fractional differential equations in quaternionic analysis. Sufficient conditions for the existence of solutions of the initial value problem are given by the application of the method of associated spaces. An example is provided to illustrate these results. [ABSTRACT FROM AUTHOR]