Xiang Liu, Baoguo Jia, Douglas R. Anderson.  Hyers-Ulam Stability for Sequential Fractional Order h-Difference Equations.  Dynamic Systems and Applications 29 (2020) No. 1, 11-25

https://doi.org/10.46719/dsa20202912

ABSTRACT.
In this paper, the Hyers-Ulam stability and generalized Hyers-Ulam stability of sequential fractional order h-difference equations are investigated using the open mapping theorem and the direct method, respectively. Finally, we give an example to illustrate one of our main results.

AMS (MOS) Subject Classification. 39A12, 39A70