Wu, Guo-ChengBaleanu, DumitruBaleanu, DumitruZeng, Sheng-Da2020-03-302020-03-302018Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da, "Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion", Communications In Nonlinear Science and Numerical Simulation, Vol. 57, pp. 299-308, (2018)1007-57041878-7274https://doi.org/10.1016/j.cnsns.2017.09.001Zeng, Shengda/0000-0003-1818-842X; Wu, Guo-Cheng/0000-0002-1946-6770; Isa Aliyu, Aliyu/0000-0002-9756-7374This 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. (c) 2017 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional Difference EquationsFinite-Time StabilityTime ScaleDiscrete Time ControlArticle5729930810.1016/j.cnsns.2017.09.0012-s2.0-85031123110WOS:000415834200023Q1Q1