Successively iterative method for a class of high-order fractional differential equations with multi-point boundary value conditions on half-line

Boundary value problems

Bingxian Li¹  Shurong Sun¹  Zhenlai Han¹ 

[1] School of Mathematical Sciences, University of Jinan, Jinan, P.R. China

关键词: Caputo fractional derivative;    multi-point boundary value problem;    monotone iteration method;    infinite interval;    existence of solutions;    34A08;    34B18;   

DOI  :  10.1186/s13661-015-0512-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of the positive solutions for a class of high-order differential equations with multi-point boundary value conditions involving the Caputo fractional derivative on infinite interval. Moreover, we develop two computable explicit monotone iterative sequences for approximating the two minimal and maximal positive solutions. An example is given to show the applicability of our main results.

【 授权许可】

CC BY