Stability by linear approximation and the relation between the stability of difference and differential fractional systems

被引：16

作者：

Mozyrska, Dorota ^{[1
]}

Wyrwas, Malgorzata ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 11期

关键词：

fractional difference and differential systems; stability; linearization; SUFFICIENT CONDITIONS; CALCULUS;

D O I：

10.1002/mma.4287

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to study the stability of nonlinear fractional order difference systems by their linear approximation. Additionally, we show the relation between the stability of linear fractional order differential systems and their discretizations. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：4080 / 4091

页数：12

共 34 条

[1]

Abdeljawad T., 2013, DISCRETE DYN NAT SOC, V2013, P1

[2] Dual identities in fractional difference calculus within Riemann [J].