ON A FRACTIONAL BOUNDARY VALUE PROBLEM WITH A PERTURBATION TERM

被引：10

作者：

Graef, John R. ^{[1
]}

Kong, Lingju ^{[1
]}

Kong, Qingkai ^{[2
]}

Wang, Min ^{[3
,4
]}

机构：

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

[2] Northern Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

[3] Equifax Inc, Alpharetta, GA 30005 USA

[4] Rowan Univ, Dept Math, Glassboro, NJ 08028 USA

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 01期

关键词：

Fractional derivative; boundary value problem; Dirichlet condition; MIXED MONOTONE-OPERATORS; FIXED-POINT THEOREMS; POSITIVE SOLUTIONS; UNIQUENESS; EXISTENCE; SYSTEM;

D O I：

10.11948/2017004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors study a nonlinear fractional boundary value problem of order a with 2 < alpha < 3. The associated Green's function is derived as a series of functions. Criteria for the existence and uniqueness of positive solutions are then established based on it.

引用

页码：57 / 66

页数：10

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