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

Advances in Difference Equations

Yongping Sun¹  Yan Sun² 

[1] College of Electron and Information, Zhejiang University of Media and Communications, Hangzhou, China;Department of Mathematics, Shanghai Normal University, Shanghai, China

关键词: positive solution;    fractional differential equations;    boundary value problems;    integral boundary conditions;    monotone iterative method;   

DOI  :  10.1186/1687-1847-2014-29

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:34A08, 34B10, 34B15.

【 授权许可】

CC BY