MULTIPLE SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR AND NONLINEAR BOUNDARY CONDITIONS

被引：4

作者：

Liu, Yiliang ^{[1
,2
]}

Lu, Liang ^{[1
,2
]}

机构：

[1] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi Provinc, Peoples R China

[2] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China

来源：

MATHEMATICA SLOVACA | 2015年 / 65卷 / 01期

关键词：

Caputo fractional derivative; multiple solutions; p-Laplacian operator; upper and lower solutions; EXISTENCE; STABILITY; SYSTEMS;

D O I：

10.1515/ms-2015-0008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with multiple solutions of fractional differential equations with p-Laplacian operator and nonlinear boundary conditions. By applying the Amann theorem and the method of upper and lower solutions, we obtain some new results on the multiple solutions. An example is given to illustrate our results. (C) 2015 Mathematical Institute Slovak Academy of Sciences

引用

页码：79 / 92

页数：14

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