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

页码：2971 / 2982

页数：12

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