Monotone iterative method for two-point fractional boundary value problems

Advances in Difference Equations

Jing Zhao¹  Zhenhai Liu²  Bo Tang² 

[1] College of Sciences, Qinzhou University;Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences, Guangxi University for Nationalities;

关键词: Riemann–Liouville derivative;    Boundary value problem;    Upper and lower solutions;    Maximal and minimal solutions;   

DOI  :  10.1186/s13662-018-1632-9

来源: DOAJ

【 摘 要 】

Abstract In this work, we deal with two-point Riemann–Liouville fractional boundary value problems. Firstly, we establish a new comparison principle. Then, we show the existence of extremal solutions for the two-point Riemann–Liouville fractional boundary value problems, using the method of upper and lower solutions. The performance of the approach is tested through a numerical example.

【 授权许可】

Unknown