Positive solutions and monotone iterative sequences for a fractional differential equation with integral boundary conditions

被引：0
作者：
Yongping Sun
Yan Sun
机构：
[1] Zhejiang University of Media and Communications,College of Electron and Information
[2] Shanghai Normal University,Department of Mathematics
来源：
Advances in Difference Equations | / 2014卷
关键词：
positive solution; fractional differential equations; boundary value problems; integral boundary conditions; monotone iterative method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using a monotone iterative method combined with some inequalities associated with the Green’s function, we investigate the existence of positive solutions for a fractional differential equation with integral boundary conditions. In addition, two examples are given to illustrate the results.
引用
收藏
相关论文
共 45 条
  • [1] Agarwal RP(2012)Positive solutions of two-point boundary value problems for fractional singular differential equations Differ. Equ 48 619-629
  • [2] Liu YS(2012)A study of higher-order nonlinear ordinary differential equations with four-point nonlocal integral boundary conditions J. Appl. Math. Comput 39 97-108
  • [3] O’Regan O(2012)Existence and multiplicity of positive solutions for singular fractional boundary value problems Comput. Math. Appl 63 1369-1381
  • [4] Tian CC(2009)Existence of positive solution for singular fractional differential equation Appl. Math. Comput 215 2761-2767
  • [5] Ahmad B(2012)Positive solutions of nonlinear fractional differential equations with integral boundary value conditions J. Math. Anal. Appl 389 403-411
  • [6] Ntouyas SK(2010)Existence of a positive solution to a class of fractional differential equations Appl. Math. Lett 23 1050-1055
  • [7] Bai ZB(2011)Existence of a positive solution to systems of differential equations of fractional order Comput. Math. Appl 62 1251-1268
  • [8] Sun WC(2011)Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions Comput. Math. Appl 61 191-202
  • [9] Bai ZB(2013)The existence of positive solutions for the singular fractional differential equation J. Appl. Math. Comput 41 171-182
  • [10] Qiu TT(2011)Positive solutions for a nonlocal fractional differential equation Nonlinear Anal 74 3599-3605
12345