On the Stability of Incommensurate h-Nabla Fractional-Order Difference Systems

被引：5
|
作者：
Djenina, Noureddine [1 ]
Ouannas, Adel [1 ,2 ]
Oussaeif, Taki-Eddine [1 ]
Grassi, Giuseppe [3 ]
Batiha, Iqbal M. [2 ,4 ]
Momani, Shaher [2 ,5 ]
Albadarneh, Ramzi B. [6 ]
机构：
[1] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi 04000, Algeria
[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman 20550, U Arab Emirates
[3] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy
[4] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 2600, Jordan
[5] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan
[6] Hashemite Univ, Fac Sci, Dept Math, POB 330127, Zarqa 13133, Jordan
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 03期
关键词：
the h-nabla fractional-order sum operator; incommensurate fractional-order difference systems; Z-transform method; stability analysis; (Q;
D O I：
10.3390/fractalfract6030158
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work aims to present a study on the stability analysis of linear and nonlinear incommensurate h-nabla fractional-order difference systems. Several theoretical results are inferred with the help of using some theoretical schemes, such as the Z-transform method, Cauchy-Hadamard theorem, Taylor development approach, final-value theorem and Banach fixed point theorem. These results are verified numerically via two illustrative numerical examples that show the stabilities of the solutions of systems at hand.
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收藏
页数：13
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