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

Advances in Difference Equations

Jing Xiao¹  Zhiguo Luo²  Wenzhe Xie² 

[1] Department of Information Engineering, Guangdong Medical College, Dongguan, China;Department of Mathematics, Hunan Normal University, Changsha, China

关键词: fractional boundary value problem;    successive iteration;    half-line;    positive solutions;   

DOI  :  10.1186/1687-1847-2013-210

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:34A08, 34A12, 34B40.

【 授权许可】

CC BY