Extremal solutions for singular fractional p-Laplacian differential equations with nonlinear boundary conditions

被引：1
作者：
Ding, Youzheng [1 ]
Yang, Jian [2 ]
Zhang, Xiaoyan [3 ]
机构：
[1] Shandong Jianzhu Univ, Dept Math, Jinan 250101, Shandong, Peoples R China
[2] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
[3] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
fractional differential equation; p-Laplacian operator; nonlinear boundary condition; upper and lower solutions; extremal solution; ADVANCED ARGUMENTS; ORDER; DIFFUSION; MODEL;
D O I：
10.1186/s13662-016-0926-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the existence and uniqueness of extremal solutions for nonlinear boundary value problems of a singular fractional p-Laplacian differential equation involving Riemann-Liouville derivatives. Our results are obtained by constructing monotone iterative sequences of upper and lower solutions and applying the comparison result. At last, we present an example to illustrate the results. The compactness of sequences is proved in the Appendix.
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页数：17
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