Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions

被引：61

作者：

Graef, John R. ^{[1
]}

Kong, Lingju ^{[1
]}

Kong, Qingkai ^{[2
]}

Wang, Min ^{[1
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2012年 / 15卷 / 03期

关键词：

uniqueness; non-homogeneous boundary condition; integral boundary condition; positive solutions; fractional calculus; FIXED-POINT THEOREMS; MIXED MONOTONE-OPERATORS; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; EXISTENCE;

D O I：

10.2478/s13540-012-0036-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors study a type of nonlinear fractional boundary value problem with non-homogeneous integral boundary conditions. The existence and uniqueness of positive solutions are discussed. An example is given as the application of the results.

引用

页码：509 / 528

页数：20

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