Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions

被引：17

作者：

Nyamoradi, Nemat ^{[1
]}

Baleanu, Dumitru ^{[2
,3
,4
]}

Agarwal, Ravi P. ^{[5
,6
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

[2] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, POB 80204, Jeddah 21589, Saudi Arabia

[3] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[4] Inst Space Sci, Bucharest 76900, Romania

[5] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA

[6] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

cone; contraction mapping principle; fixed point theorem; Riemann-Liouville fractional derivative; EQUATIONS;

D O I：

10.1186/1687-1847-2013-266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, we consider two problems of boundary value problems for a fractional differential equation. A fixed point theorem in partially ordered sets and a contraction mapping principle are applied to prove the existence of at least one positive solution for both fractional boundary value problems.

引用

页数：11

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