Monotone iterative technique for a coupled system of nonlinear Hadamard fractional differential equations

被引：1
|
作者：
Wengui Yang
机构：
[1] Southeast University,School of Mathematics
[2] Sanmenxia Polytechnic,Department of Public Education
来源：
Journal of Applied Mathematics and Computing | 2019年 / 59卷
关键词：
Hadamard fractional differential equations; Extremal solutions; Monotone iterative technique; Upper and lower solutions; 34B18; 26A33; 34A34;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the extremal solutions for a coupled system of nonlinear Hadamard fractional differential equations with Cauchy initial value conditions. By using the comparison principle and the monotone iterative technique combined with the method of upper and lower solutions, we obtain the existence and iterative methods of extremal solution to the system. Finally, an example with numerical simulation is given to show the effectiveness of our main results.
引用
收藏
页码：585 / 596
页数：11
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