Unbounded solution for a fractional boundary value problem

被引：0

作者：

Assia Guezane-Lakoud

Adem Kılıçman

机构：

[1] Badji Mokhtar Annaba University,Mathematics Department, Faculty of Sciences

[2] Universiti Putra Malaysia (UPM),Department of Mathematics and Institute of Mathematical Research

来源：

Advances in Difference Equations | / 2014卷

关键词：

integral condition; Caputo derivative; unbounded solution; existence of solution; Leray-Schauder nonlinear alternative; Guo-Krasnosel’skii fixed point theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper concerns the existence of unbounded positive solutions of a fractional boundary value problem on the half line. By means of the properties of the Green function and the compression and expansion fixed point theorem (Kwong in Fixed Point Theory Appl. 2008:164537, 2008), sufficient conditions are obtained to guarantee the existence of a solution to the posed problem.

引用

共 50 条

[1] Unbounded solution for a fractional boundary value problem
Guezane-Lakoud, Assia
Kilicman, Adem
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[2] Positive Solution to a Fractional Boundary Value Problem
Guezane-Lakoud, A.
Khaldi, R.
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
[3] Integro-differential fractional boundary value problem on an unbounded domain
Dong Wang
Guotao Wang
[J]. Advances in Difference Equations, 2016
[4] Integro-differential fractional boundary value problem on an unbounded domain
Wang, Dong
Wang, Guotao
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[5] EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER
张淑琴
[J]. Acta Mathematica Scientia, 2006, (02) : 220 - 228
[6] Existence of solution for a boundary value problem of fractional order
Zhang, SQ
[J]. ACTA MATHEMATICA SCIENTIA, 2006, 26 (02) : 220 - 228
[7] Unique positive solution for a fractional boundary value problem
Zhang, Keyu
Xu, Jiafa
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (04) : 937 - 948
[8] Unique positive solution for a fractional boundary value problem
Keyu Zhang
Jiafa Xu
[J]. Fractional Calculus and Applied Analysis, 2013, 16 : 937 - 948
[9] Solutions to boundary value problem of fractional order on unbounded domains in a Banach space
Su, Xinwei
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (08) : 2844 - 2852
[10] Unbounded solutions to a boundary value problem of fractional order on the half-line
Su, Xinwei
Zhang, Shuqin
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 1079 - 1087

← 1 2 3 4 5 →