Existence and uniqueness of solution for a class of nonlinear fractional differential equations

被引：6

作者：

Ma, Shichang ^{[2
]}

Xu, Yufeng ^{[1
]}

Yue, Wei ^{[2
]}

机构：

[1] Cent South Univ, Dept Appl Math, Changsha 410083, Hunan, Peoples R China

[2] Cent South Univ, Sch Business, Changsha 410083, Hunan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

nonlinear fractional differential equations; general irregular boundary conditions; existence; fixed-point theorem; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; MODEL; SYSTEM;

D O I：

10.1186/1687-1847-2012-133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and contraction mapping principle. Moreover, the boundary condition is extended, therefore, some conclusions from other references are special cases of our results. MSC: 26A33, 34A08.

引用

页码：1 / 11

页数：11

共 50 条

[1] Existence and uniqueness of solution for a class of nonlinear fractional differential equations
Shichang Ma
Yufeng Xu
Wei Yue
Advances in Difference Equations, 2012
[2] Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations
Babakhani, Azizollah
Baleanu, Dumitru
ABSTRACT AND APPLIED ANALYSIS, 2012,
[3] EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Derbazi, Choukri
Hammouche, Hadda
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (03): : 341 - 361
[4] EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEM
Zhang Xiuyun Kou Chunhai (Dept. of Applied Math.
Annals of Applied Mathematics, 2006, (03) : 467 - 472
[5] 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
[6] Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
Lingling Zhang
Huimin Tian
Advances in Difference Equations, 2017
[7] Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
Zhang, Lingling
Tian, Huimin
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[8] The Existence and Uniqueness of a Class of Fractional Differential Equations
Bai, Zhanbing
Sun, Sujing
Chen, YangQuan
ABSTRACT AND APPLIED ANALYSIS, 2014,
[9] Existence and uniqueness results for a class of BVPs for nonlinear fractional differential equations
Foukrach, Djamal
Moussaoui, Tou K.
Ntouyas, Sotiris K.
GEORGIAN MATHEMATICAL JOURNAL, 2015, 22 (01) : 45 - 55
[10] EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Derbazi, Choukri
Hammouche, Hadda
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (01): : 141 - 162

← 1 2 3 4 5 →