The solution theory for the fractional hybrid q-difference equations

被引：6
作者：
Ma, Kuikui [1 ]
Gao, Lei [1 ]
机构：
[1] Shandong Agr Univ, Coll Informat Sci & Engn, Tai An 271018, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 05期
关键词：
Fractional hybrid q-difference equations; Stability; Existence and uniqueness; EXISTENCE; STABILITY;
D O I：
10.1007/s12190-021-01650-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article discusses some basic properties of solutions to fractional hybrid q-difference equations. First, the existence theorem is presented by applying a fixed point theorem. Then, the stability result is derived by establishing a q-Gronwall inequality. This stability result also implies the uniqueness of the solution. Finally, a simple example is given to illustrate the effectiveness of our main results. Some conclusions in the literature are extended greatly.
引用
收藏
页码：2971 / 2982
页数：12
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