The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium

被引:132
作者
Zhang, Xinguang [1 ,3 ]
Liu, Lishan [2 ]
Wu, Yonghong [3 ]
机构
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
基金
中国国家自然科学基金;
关键词
Uniqueness; Fractional turbulent flow model; Mixed monotone operator; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATION; EXISTENCE; OPERATORS;
D O I
10.1016/j.aml.2014.05.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish the uniqueness of positive solution for a fractional model of turbulent flow in a porous medium by using the fixed point theorem of the mixed monotone operator. An example is also given to illustrate the application of the main result. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:26 / 33
页数:8
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