Positive solutions for nonlinear fractional semipositone differential equation with nonlocal boundary conditions

被引：17

作者：

Hao, Xinan ^{[1
]}

Liu, Lishan ^{[1
,2
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Singular fractional differential equation; semipositone; positive solutions; nonlocal boundary conditions; UNIQUENESS;

D O I：

10.22436/jnsa.009.06.45

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions to the nonlinear fractional order singular and semipositone nonlocal boundary value problem {D-0(alpha) u(t) + f(t, u(t)) = 0, 0 < t < 1, u(0) = u'(0) = .... = u((n-2)) (0) = 0, u(1) = mu integral(1)(0) u(s)ds by using the Leray-Schauder nonlinear alternative and a fixed-point theorem on cones, where 0 < mu < alpha, 2 <= n-1 < alpha <= n, D-0(alpha)+ is the standard Riemann-Liouville derivative, and f(t,u) is semipositone and may be singular at u = 0. (C) 2016 All rights reserved. u

引用

页码：3992 / 4002

页数：11

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