Existence of positive solutions for integral boundary value problems of fractional differential equations with p -Laplacian

Advances in Difference Equations

Luchao Zhang¹  Mei Jia²  Xiping Liu²  Weiguo Zhang² 

[1] Business School, University of Shanghai for Science and Technology, Shanghai, P.R. China;College of Science, University of Shanghai for Science and Technology, Shanghai, P.R. China

关键词: fractional differential equations;    Caputo derivative;    p-Laplacian operator;    integral boundary conditions;    positive solutions;   

DOI  :  10.1186/s13662-017-1086-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of positive solutions for integral boundary value problems of Caputo fractional differential equations with p-Laplacian operator. By means of the properties of the Green’s function, Avery-Peterson fixed point theorems, we establish conditions ensuring the existence of positive solutions for the problem. As an application, an example is given to demonstrate the main result.

【 授权许可】

CC BY