Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations

被引：20
|
作者：
Chen, Churong [1 ]
Bohner, Martin [2 ]
Jia, Baoguo [1 ,3 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou, Peoples R China
[2] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA
[3] Sun Yat Sen Univ, Prov Key Lab Computat Sci, Guangzhou, Peoples R China
来源：
TURKISH JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 03期
关键词：
Nabla difference equation; existence and uniqueness; Caputo operator;
D O I：
10.3906/mat-1904-29
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study two cases of nabla fractional Caputo difference equations. Our main tool used is a Banach fixed point theorem, which allows us to give some existence and uniqueness theorems of solutions for discrete fractional Caputo equations. In addition, we develop the existence results for delta fractional Caputo difference equations, which correct ones obtained in Chen and Zhou. We present two examples to illustrate our main results.
引用
收藏
页码：857 / 869
页数：13
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