Existence of positive solutions for a third-order multipoint boundary value problem and extension to fractional case

Boundary value problems

Yongping Sun¹  Weigang Sun²  Tongchun Hu³ 

[1] College of Electronics and Information, Zhejiang University of Media and Communications, Hangzhou, China;Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, China;Department of Public Teaching, Hangzhou Polytechnic, Hangzhou, China

关键词: monotone iteration;    positive solutions;    multipoint BVPs;    fractional differential equations;    34A08;    34B10;    34B15;    34B18;   

DOI  :  10.1186/s13661-016-0704-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study a nonlinear third-order multipoint boundary value problem by the monotone iterative method. We then obtain the existence of monotone positive solutions and establish iterative schemes for approximating the solutions. In addition, we extend the considered problem to the Riemann-Liouville-type fractional analogue. Finally, we give a numerical example for demonstrating the efficiency of the theoretical results.

【 授权许可】

CC BY