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

被引：0
作者：
Youzheng Ding
Jian Yang
Xiaoyan Zhang
机构：
[1] Shandong Jianzhu University,Department of Mathematics
[2] University of Jinan,School of Mathematical Science
[3] Shandong University,School of Mathematics
来源：
Advances in Difference Equations | / 2016卷
关键词：
fractional differential equation; -Laplacian operator; nonlinear boundary condition; upper and lower solutions; extremal solution; 26A33; 34B15; 34A08;
D O I：
暂无
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学科分类号：
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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