Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5011280 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 17 Pages |
Abstract
This study investigates finite-time stability of Caputo delta fractional difference equations. A generalized Gronwall inequality is given on a finite time domain. A finite-time stability criterion is proposed for fractional differential equations. Then the idea is extended to the discrete fractional case. A linear fractional difference equation with constant delays is considered and finite-time stable conditions are provided. One example is numerically illustrated to support the theoretical result.
Related Topics
Physical Sciences and Engineering
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Mechanical Engineering
Authors
Guo-Cheng Wu, Dumitru Baleanu, Sheng-Da Zeng,