Monotone iterative method for two-point fractional boundary value problems

被引：0
|
作者：
Bo Tang
Jing Zhao
Zhenhai Liu
机构：
[1] Guangxi University for Nationalities,Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences
[2] Qinzhou University,College of Sciences
来源：
Advances in Difference Equations | / 2018卷
关键词：
Riemann–Liouville derivative; Boundary value problem; Upper and lower solutions; Maximal and minimal solutions;
D O I：
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学科分类号：
摘要：
In this work, we deal with two-point Riemann–Liouville fractional boundary value problems. Firstly, we establish a new comparison principle. Then, we show the existence of extremal solutions for the two-point Riemann–Liouville fractional boundary value problems, using the method of upper and lower solutions. The performance of the approach is tested through a numerical example.
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