Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann–Stieltjes integral boundary value conditions

Advances in Difference Equations

article

Liu, Lishan¹  Min, Dandan¹  Wu, Yonghong² 

[1] School of Mathematical Sciences, Qufu Normal University;Department of Mathematics and Statistics, Curtin University

关键词: Fractional differential equations;    Riemann–Stieltjes integral boundary value problem;    Positive solutions;    Singular problem;    Fixed point theorem;   

DOI  :  10.1186/s13662-020-02892-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this work, the aim is to discuss a new class of singular nonlinear higher-order fractional boundary value problems involving multiple Riemann–Liouville fractional derivatives. The boundary conditions are constituted by Riemann–Stieltjes integral boundary conditions. The existence and multiplicity of positive solutions are derived via employing the Guo–Krasnosel’skii fixed point theorem. In addition, the main results are demonstrated by some examples to show their validity.

【 授权许可】

CC BY