Some results on linear nabla Riemann-Liouville fractional difference equations

被引：2
|
作者：
The Anh, Pham [1 ]
Babiarz, Artur [2 ]
Czornik, Adam [2 ]
Niezabitowski, Michal [2 ]
Siegmund, Stefan [3 ]
机构：
[1] Le Quy Don Tech Univ, Dept Math, 236 Hoang Quoc Viet, Hanoi, Vietnam
[2] Silesian Tech Univ, Fac Automat Control Elect & Comp Sci, Akad 16, PL-44100 Gliwice, Poland
[3] Tech Univ Dresden, Fac Math, Ctr Dynam, Zellescher Weg 12-14, D-01069 Dresden, Germany
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 13期
关键词：
fractional difference equations; Lyapunov exponent; nabla Riemann-Liouville difference; STABILITY; SYSTEMS;
D O I：
10.1002/mma.6337
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish some criteria for boundedness, stability properties, and separation of solutions of autonomous nonlinear nabla Riemann-Liouville scalar fractional difference equations. To derive these results, we prove the variation of constants formula for nabla Riemann-Liouville fractional difference equations.
引用
收藏
页码：7815 / 7824
页数：10
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