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.

引用

页数：13

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