Boundary value problem for nonlinear fractional differential equations with delay

被引：5
|
作者：
Niazi, Azmat Ullah Khan [1 ]
Wei, Jiang [1 ]
Rehman, Mujeeb Ur [2 ]
Denghao, Pang [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230039, Anhui, Peoples R China
[2] Natl Univ Sci & Technol NUST, SNS, Dept Math, Sect H12, Islamabad 44000, Pakistan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
fractional functional differential equation; boundary value problem; existence and uniqueness of solutions; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS; SYSTEM;
D O I：
10.1186/s13662-017-1090-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the existence and uniqueness of a solution of a boundary value problem for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative. Our work relies on the Schauder fixed point theorem and contraction mapping principle in a cone. We also include examples to show the applicability of our results.
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页数：14
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