Positive solutions for some Riemann-Liouville fractional boundary value problems

被引：0

作者：

Bachar, Imed ^{[1
]}

Maagli, Habib ^{[2
,3
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[2] King Abdulaziz Univ, Coll Arts & Sci, Dept Math, Rabigh Campus,POB 344, Rabigh 21911, Saudi Arabia

[3] Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 07期

关键词：

Fractional differential equation; positive solutions; Green's function; perturbation arguments; Schauder fixed point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and global asymptotic behavior of positive continuous solutions to the following nonlinear fractional boundary value problem (p(lambda)) [GRAPHICS] where 1 < alpha < 2, D-alpha is the Riemann-Liouville fractional derivative, and lambda, mu and nu are nonnegative constants such that mu + nu > 0. Our purpose is to give two existence results for the above problem, where f (t, s) is a nonnegative continuous function on (0,1) x [0, infinity), nondecreasing with respect to the second variable and satisfying some appropriate integrability condition. Some examples are given to illustrate our existence results. (C) 2016 All rights reserved.

引用

页码：5093 / 5106

页数：14

共 30 条

[1] Positive solutions for Dirichlet problems, of singular nonlinear fractional differential equations [J].