EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A CLASS OF NONLINEAR FRACTIONAL ORDER DIFFERENTIAL EQUATIONS WITH DELAY

被引：0

作者：

Xiaogang Liu ^{[1
]}

机构：

[1] Modern College of Northwest University

来源：

Annals of Applied Mathematics | 2014年 / 02期

关键词：

fractional order differential equations; solution; existence; uniqueness; delay;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

A class of nonlinear fractional order differential equations with delay is investigated in this paper.Using Leray-Schauder fixed point theorem and the contraction mapping theorem,we obtain some sufficient conditions for the existence and uniqueness of solutions to the fractional order differential equations.

引用

页码：157 / 165

页数：9

共 50 条

[1] Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
Ouyang, Zigen
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 860 - 870
[2] On the existence and uniqueness of solutions of a class of fractional differential equations
Ibrahim, Rabha W.
Momani, Shaher
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 1 - 10
[3] Existence and uniqueness of solution for a class of nonlinear fractional differential equations
Shichang Ma
Yufeng Xu
Wei Yue
Advances in Difference Equations, 2012
[4] Existence and uniqueness of solution for a class of nonlinear fractional differential equations
Ma, Shichang
Xu, Yufeng
Yue, Wei
ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 11
[5] Existence and uniqueness of positive solutions for first-order nonlinear Liouville–Caputo fractional differential equations
Abdelouaheb Ardjouni
Ahcene Djoudi
São Paulo Journal of Mathematical Sciences, 2020, 14 : 381 - 390
[6] Existence and Uniqueness of Solutions for a Class of Nonlinear Stochastic Differential Equations
Komashynska, Iryna Volodymyrivna
ABSTRACT AND APPLIED ANALYSIS, 2013,
[7] Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations
Ahmad, Bashir
Alsaedi, Ahmed
FIXED POINT THEORY AND APPLICATIONS, 2010,
[8] The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay
Wang, Fei-Fei
Chen, Di-Yi
Zhang, Xin-Guang
Wu, Yong
APPLIED MATHEMATICS LETTERS, 2016, 53 : 45 - 51
[9] Existence of positive solutions of nonlinear fractional delay differential equations
Chunping Liao
Haiping Ye
Positivity, 2009, 13 : 601 - 609
[10] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
Benchohra, Mouffak
Slimani, Boualem Attou
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,

← 1 2 3 4 5 →