Existence of solutions for q-fractional differential equations with nonlocal Erdelyi-Kober q-fractional integral condition

被引：10
|
作者：
Jiang, Min [1 ]
Huang, Rengang [2 ]
机构：
[1] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Peoples R China
[2] Guizhou Minzu Univ, Coll Business, Guiyang 550025, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 06期
关键词：
q-fractional differential equations; Erdelyi-Kober q-fractional integral; fixed point theorems; Riemann-Liouville fractional derivatives;
D O I：
10.3934/math.2020421
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain sufficient conditions for the existence, uniqueness of solutions for a fractional q-difference equation with nonlocal Erdelyi-Kober q-fractional integral condition. Our approach is based on some classical fixed point techniques, as Banach contraction principle and Schauder's fixed point theorem. Examples illustrating the obtained results are also presented.
引用
收藏
页码：6537 / 6551
页数：15
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