Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator

被引：2

作者：

Lu, Hongling ^{[1
]}

Han, Zhenlai ^{[1
]}

Zhang, Chao ^{[1
]}

Zhao, Yan ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China

来源：

Finite Difference Methods, Theory and Applications | 2015年 / 9045卷

关键词：

Fractional differential equation; Boundary value problem; P-Laplacian operator; Green's function; Fixed-point theorem; EXISTENCE;

D O I：

10.1007/978-3-319-20239-6_29

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we deal with the following p-Laplacian fractional boundary value problem: phi(p)(D(0+)(alpha)u(t)) + f(t, u(t)) = 0, 0 < t < 1, u(0) = u' (0) = u' (1) = 0, where 2 < alpha <= 3 is a real number. D(0+)(alpha)is the standard Riemann-Liouville differentiation, and f : [0, 1] x [0,+infinity) -> [0,+infinity) is continuous. By the properties of the Green function and some fixed-point theorems on cone, some existence and multiplicity results of positive solutions are obtained. As applications, examples are presented to illustrate the main results.

引用

页码：274 / 281

页数：8

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