Positive solution for higher-order singular infinite-point fractional differential equation with p -Laplacian

Advances in Difference Equations

Qiuyan Zhong¹  Xingqiu Zhang¹ 

[1] Department of Information Engineering, Jining Medical College, Jining, P.R. China

关键词: fractional differential equations;    p-Laplacian;    singularity;    upper and lower solutions;    positive solution;    26A33;    34B15;    34B16;   

DOI  :  10.1186/s13662-015-0737-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By means of the method of upper and lower solutions together with the Schauder fixed point theorem, the conditions for the existence of at least one positive solution are established for some higher-order singular infinite-point fractional differential equation with p-Laplacian. The nonlinear term may be singular with respect to both the time and the space variables.

【 授权许可】

CC BY