On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval

被引：19

作者：

Shen, Chunfang ^{[1
]}

Zhou, Hui ^{[1
]}

Yang, Liu ^{[1
,2
]}

机构：

[1] Hefei Normal Univ, Coll Math & Stat, Hefei 230061, Peoples R China

[2] Univ Sci & Technol China, Coll Math Sci, Hefei 230000, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

fractional differential equation; boundary value problem; infinite interval; fixed point theorem; POSITIVE SOLUTIONS; UNIQUENESS RESULT;

D O I：

10.1186/s13661-015-0509-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with a boundary value problem for a nonlinear multi-point fractional differential equation on the infinite interval. By constructing the proper function spaces and the norm, we overcome the difficulty following from the noncompactness of [0,infinity). By using the Schauder fixed point theorem, we show the existence of one solution with suitable growth conditions imposed on the nonlinear term.

引用

页码：1 / 13

页数：13

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