Solvability of fractional boundary value problem with p -Laplacian operator at resonance

Advances in Difference Equations

Xiaohui Shen¹  Wenbin Liu¹  Tengfei Shen¹ 

[1] College of Sciences, China University of Mining and Technology, Xuzhou, P.R. China

关键词: fractional differential equation;    boundary value problem;    p-Laplacian operator;    coincidence degree theory;    resonance;   

DOI  :  10.1186/1687-1847-2013-295

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a class of multi-point boundary value problems for nonlinear fractional differential equations at resonance with p-Laplacian operator is considered. By using the extension of Mawhin’s continuation theorem due to Ge, the existence of solutions is obtained, which enriches previous results. MSC:34A08, 34B15.

【 授权许可】

CC BY