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.

引用

页数：14

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