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 30 条

[1] Existence of fractional neutral functional differential equations [J].

Agarwal, R. P. ;

Zhou, Yong ;

He, Yunyun .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) :1095-1100

[2]

Agarwal RP, 2009, GEORGIAN MATH J, V16, P401

[3] Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions [J].

Ahmad, Bashir ;

Ntouyas, Sotiris K. .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 :615-622

[4]

[Anonymous], 2006, THEORY APPL FRACTION

[5]

[Anonymous], 1993, INTRO FRACTIONAL CA

[6]

[Anonymous], 1974, The fractional calculus theory and applications of differentiation and integration to arbitrary order, DOI DOI 10.1016/S0076-5392(09)60219-8

[7]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[8] Existence results for fractional order functional differential equations with infinite delay [J].

Benchohra, A. ;

Henderson, J. ;

Ntouyas, S. K. ;

Ouahab, A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) :1340-1350

[9]

Diethelm K., 2010, LECT NOTES MATH

[10] Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations [J].

Eloe, Paul W. ;

Henderson, Johnny .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) :240-247

← 1 2 3 →