Successive iteration and positive solutions of a fractional boundary value problem on the half-line

被引：2

作者：

Xie, Wenzhe ^{[1
]}

Luo, Zhiguo ^{[1
]}

Xiao, Jing ^{[2
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Guangdong Med Coll, Dept Informat Engn, Dongguan 523808, Guangdong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

fractional boundary value problem; successive iteration; half-line; positive solutions; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1186/1687-1847-2013-210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions for a nonlinear fractional boundary value problem on the half-line. Based on the monotone iterative technique, we obtain the existence of positive solutions of a fractional boundary value problem and establish iterative schemes for approximating the solutions. As application, an example is presented to illustrate the main results. \

引用

页数：9

共 16 条

[1] Ahmad B, 2012, FIXED POINT THEOR-RO, V13, P329
[2] Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
Alves, Edson
Ma, To Fu
Pelicer, Mauricio Luciano
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3834 - 3841
[3] Fractional order differential equations on an unbounded domain
Arara, A.
Benchohra, M.
Hamidi, N.
Nieto, J. J.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 580 - 586
[4] An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator
Chen, Taiyong
Liu, Wenbin
[J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (11) : 1671 - 1675
[5] Existence of a positive solution to a class of fractional differential equations
Goodrich, Christopher S.
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 1050 - 1055
[6] Existence of three positive solutions of m-point boundary value problems for some nonlinear fractional differential equations on an infinite interval
Liang, Sihua
Zhang, Jihui
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (11) : 3343 - 3354
[7] Existence and unboundedness of positive solutions for singular boundary value problems on half-line
Liu, YS
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 144 (2-3) : 543 - 556
[8] Existence and iteration of monotone positive solutions for multipoint boundary value problem with p-Laplacian operator
Ma, DX
Du, ZJ
Ge, WG
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (5-6) : 729 - 739
[9] Maximum principles for fractional differential equations derived from Mittag-Leffler functions
Nieto, Juan J.
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (10) : 1248 - 1251
[10] Podlubny I., 1999, FRACTIONAL DIFFERENT

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