Solvability of fractional boundary value problems with p -Laplacian operator

Advances in Difference Equations

Bo Zhang¹ 

[1] School of Mathematical Sciences, Huaibei Normal University, Huaibei, P.R. China

关键词: fractional differential equation;    p-Laplacian operator;    boundary value problem;    Schaefer’s fixed point theorem;    34A08;    34B15;   

DOI  :  10.1186/s13662-015-0648-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper studies the existence of solutions for two boundary value problems for the fractional p-Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer’s fixed point theorem.

【 授权许可】

CC BY