Positive solution for singular fractional differential equations involving derivatives

被引：37

作者：

Hao, Xinan ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2016年

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

singular nonlocal BVP; positive solution; fractional differential equation; mixed monotone operator; BOUNDARY-VALUE-PROBLEMS; UNIQUENESS; EIGENVALUE; EXISTENCE;

D O I：

10.1186/s13662-016-0865-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the fixed point theorem for the mixed monotone operator, the existence of unique positive solutions for singular nonlocal boundary value problems of fractional differential equations is established. An example is provided to illustrate the main results.

引用

页数：12

共 15 条

[1]

[Anonymous], 1993, INTRO FRACTIONAL CA

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3]

Diethelm K., 1999, On the solution of nonlinear fractional-order differential equations used in the modeling of viscoplasticity, P217

[4] DAMPING DESCRIPTION INVOLVING FRACTIONAL OPERATORS [J].