Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions

Advances in Difference Equations

Ying He¹ 

[1] School of Mathematics and Statistics, Northeast Petroleum University, Daqing, P.R. China

关键词: fractional differential system;    upper and lower solutions;    monotone iterative technique;    integral boundary conditions;    34B15;   

DOI  :  10.1186/s13662-017-1304-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By establishing a comparison result and using the monotone iterative technique combined with the method of upper and lower solutions, we have investigated the existence of extremal solutions for nonlinear fractional differential systems with integral boundary conditions. As an example, an application is presented to demonstrate the accuracy of the new approach.

【 授权许可】

CC BY