Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions

Boundary value problems

Yiming Xie¹  Shengli Xie³ 

[1] Physics, Urban Construction College, Anhui Jianzhu University, Hefei, P.R. China;School of Civil Engineering, Anhui Jianzhu University, Hefei, P.R. China;School of Mathematics &

关键词: singular fractional differential equations;    positive solution;    cone;    fixed point index;    34B10;    34B16;    34B18;    45G10;   

DOI  :  10.1186/s13661-016-0643-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with the existence and multiplicity of positive solutions for a system of nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions. The main tool used in the proof is fixed point index theory. Some limit type conditions for ensuring the existence of positive solutions are given, and our conditions are suitable for more general functions.

【 授权许可】

CC BY