Existence of solutions for discrete fractional boundary value problems with a p -Laplacian operator

Advances in Difference Equations

Weidong Lv¹ 

[1] School of Mathematics and Statistics, Longdong University, Qingyang, P.R. China

关键词: discrete fractional boundary value problem;    p-Laplacian operator;    existence;    Schaefer’s fixed point theorem;   

DOI  :  10.1186/1687-1847-2012-163

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of solutions to a discrete fractional boundary value problem with a p-Laplacian operator. Under certain nonlinear growth conditions of the nonlinearity, the existence result is established by using Schaefer’s fixed point theorem. Additionally, a representative example is presented to illustrate the effectiveness of the main result. MSC:26A33, 39A05, 39A12.

【 授权许可】

CC BY