Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line

Advances in Difference Equations

article

Zhang, Haiyan¹  Wang, Yongqing²  Xu, Jiafa³ 

[1] School of Mathematics and Statistics, Suzhou University;School of Mathematical Sciences, Qufu Normal University;School of Mathematical Sciences, Chongqing Normal University

关键词: Monotone iterative technique;    Iterative sequences;    Fractional differential system;    Integral boundary value problems;    Half-line;   

DOI  :  10.1186/s13662-020-02860-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper we consider a fractional differential system with coupled integral boundary value problems on a half-line, where the nonlinearity terms depend on unknown functions and the lower-order fractional derivative of unknown functions, and the fractional infinite boundary value conditions depend on the coupled infinite integral of unknown functions. By virtue of the monotone iterative technique, we find two explicit monotone iterative sequences which converge to the positive minimal and maximal solutions when the nonlinearities can satisfy certain nonlinear growth conditions.

【 授权许可】

CC BY