Stability criteria about discrete fractional maps

This paper aims to give a further study of stable regions in some fractional difference equations. Some criteria are established about root distribution of fractional functions. As applications of theoretical results, explicit conditions which guarantee the master-slave synchronization in fractional chaotic maps can be established, which are not discussed in the literature. Numerical simulation gives a solid confirmation of our analysis. (C) 2019 Elsevier Ltd. All rights reserved.