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

共 50 条

[1] Boundary value problem for nonlinear fractional differential equations with delay
Azmat Ullah Khan Niazi
Jiang Wei
Mujeeb Ur Rehman
Pang Denghao
Advances in Difference Equations, 2017
[2] Boundary value problem for linear and nonlinear fractional differential equations
Ma, Tengteng
Tian, Yu
Huo, Qiang
Zhang, Yong
APPLIED MATHEMATICS LETTERS, 2018, 86 : 1 - 7
[3] Existence Of Solutions For Fractional Differential Equations Boundary Value Problem With Delay
Li, Yanan
Sun, Shu-Rong
Han, Zhen-lai
2012 INTERNATIONAL CONFERENCE ON INDUSTRIAL CONTROL AND ELECTRONICS ENGINEERING (ICICEE), 2012, : 1815 - 1818
[4] On the Boundary Value Problem of Nonlinear Fractional Integro-Differential Equations
Li, Chenkuan
Saadati, Reza
Srivastava, Rekha
Beaudin, Joshua
MATHEMATICS, 2022, 10 (12)
[5] Impulsive boundary value problem for nonlinear differential equations of fractional order
Wang, Xuhuan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (05) : 2383 - 2391
[6] Boundary value problem for a coupled system of nonlinear fractional differential equations
Su, Xinwei
APPLIED MATHEMATICS LETTERS, 2009, 22 (01) : 64 - 69
[7] A singular boundary value problem for nonlinear differential equations of fractional order
Kosmatov N.
Journal of Applied Mathematics and Computing, 2009, 29 (1-2) : 125 - 135
[8] ON BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATIONS
Hamidi, M. R.
Nyamoradi, N.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (03) : 789 - 805
[9] Boundary Value Problem for Multi-Term Nonlinear Delay Generalized Proportional Caputo Fractional Differential Equations
Agarwal, Ravi P. P.
Hristova, Snezhana
FRACTAL AND FRACTIONAL, 2022, 6 (12)
[10] Some Antiperiodic Boundary Value Problem for Nonlinear Fractional Impulsive Differential Equations
Liu, Xianghu
Li, Yanfang
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →