Monotone iterative technique for a nonlinear fractional q-difference equation of Caputo type

被引：20
作者：
Wang, Guotao [1 ]
Sudsutad, Weerawat [2 ]
Zhang, Lihong [1 ]
Tariboon, Jessada [2 ]
机构：
[1] Shanxi Normal Univ, Dept Math, Linfen 041004, Shanxi, Peoples R China
[2] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Nonlinear Dynam Anal Res Ctr, Bangkok 10800, Thailand
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
Caputo q-fractional derivative; comparison theorem; monotone iterative sequences; extremal solutions; INITIAL-VALUE PROBLEMS; EXISTENCE; SYSTEMS;
D O I：
10.1186/s13662-016-0938-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By establishing a comparison theorem and applying the monotone iterative technique combined with the method of lower and upper solutions, we investigate the existence of extremal solutions of the initial value problem for fractional q-difference equation involving Caputo derivative. An example is presented to illustrate the main result.
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收藏
页数：11
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