Ulam-Hyers stability of Caputo fractional difference equations

被引：84

作者：

Chen, Churong ^{[1
]}

Bohner, Martin ^{[2
]}

Jia, Baoguo ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math, Guangdong Prov Key Lab Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

[2] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 18期

关键词：

Caputo operator; nabla difference equation; Ulam-Hyers stability; SYSTEM;

D O I：

10.1002/mma.5869

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Ulam-Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam-Hyers stability results of discrete fractional Caputo equations. We present two examples to illustrate our main results.

引用

页码：7461 / 7470

页数：10

共 27 条

[1] Theory of discrete fractional Sturm-Liouville equations and visual results [J].