Existence Results for Singular Boundary Value Problem of Nonlinear Fractional Differential Equation

被引：8

作者：

Cui, Yujun ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Dept Math, Qingdao 266510, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

基金：

美国国家科学基金会;

关键词：

POSITIVE SOLUTIONS; CONJUGATE;

D O I：

10.1155/2011/605614

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By applying a fixed point theorem for mappings that are decreasing with respect to a cone, this paper investigates the existence of positive solutions for the nonlinear fractional boundary value problem: D(0)(alpha) u(t) + f(t, u(t)) = 0, 0 < t < 1, u(0) = u'(0) = u'(1) = 0, where 2 < alpha < 3, D(0)(alpha) is the Riemann-Liouville fractional derivative.

引用

页数：9

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