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

下载

页码：1 / 13

页数：13

共 50 条

[21] Existence of positive solutions for nonlocal boundary value problem of fractional differential equation
Liu, Xiping
Lin, Legang
Fang, Haiqin
CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (10): : 1423 - 1432
[22] Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
Li, Xiaochen
Liu, Xiping
Jia, Mei
Li, Yan
Zhang, Sha
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 1892 - 1904
[23] The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
Xiaochen Li
Xiping Liu
Mei Jia
Luchao Zhang
Advances in Difference Equations, 2017
[24] The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
Li, Xiaochen
Liu, Xiping
Jia, Mei
Zhang, Luchao
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[25] Existence of solution to a class of boundary value problem for impulsive fractional differential equations
Zhou, Wen-Xue
Liu, Xu
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[26] Existence of solution to a class of boundary value problem for impulsive fractional differential equations
Wen-Xue Zhou
Xu Liu
Advances in Difference Equations, 2014
[27] Existence Results for a Functional Boundary Value Problem on an Infinite Interval
Mavridis, Kyriakos G.
Tsamkros, Panagiotis Ch
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2011, 54 (01): : 53 - 68
[28] EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER
张淑琴
Acta Mathematica Scientia, 2006, (02) : 220 - 228
[29] Existence of solution for a boundary value problem of fractional order
Zhang, SQ
ACTA MATHEMATICA SCIENTIA, 2006, 26 (02) : 220 - 228
[30] Positive Solution of Boundary Value Problem Involving Fractional Pantograph Differential Equation
Borisut, Piyachat
Auipa-arch, Chaiwat
THAI JOURNAL OF MATHEMATICS, 2021, 19 (03): : 1056 - 1067

← 1 2 3 4 5 →