Abstract
In this paper, we firstly develop an inequality on the rising function, which help us to deal with the fractional integral (sum) in terms of Hölder inequality. Secondly, a finite-time stability criterion of a class of nonlinear fractional delay difference systems with order 1<α<2 is addressed by virtue of a new discrete Gronwall inequality and Jensen inequality. Finally, two numerical examples are presented to demonstrate our theoretical result.
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