Existence and uniqueness for p-type fractional neutral differential equations

被引:133
作者
Zhou, Yong [1 ]
Jiao, Feng [1 ]
Li, Jing [1 ]
机构
[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
关键词
Fractional neutral differential equations; p-function; Existence; Uniqueness;
D O I
10.1016/j.na.2009.01.105
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the Cauchy initial value problem is discussed for the p-type fractional neutral functional differential equations and various criteria on existence and uniqueness are obtained. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2724 / 2733
页数:10
相关论文
共 18 条
[1]   A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions [J].
Agarwal, Ravi P. ;
Benchohra, Mouffak ;
Hamani, Samira .
ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) :973-1033
[2]  
[Anonymous], 1993, INTRO FRACTIONAL CA
[3]  
[Anonymous], 2006, Journal of the Electrochemical Society
[4]   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
[5]   Boundary value problems for multi-term fractional differential equations [J].
Daftardar-Gejji, Varsha ;
Bhalekar, Sachin .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) :754-765
[6]   Nonsmooth analysis and fractional differential equations [J].
Devi, J. Vasundhara ;
Lakshmikantham, V. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) :4151-4157
[7]   Semigroups and some nonlinear fractional differential equations [J].
El-Borai, MM .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) :823-831
[8]   Nonlinear functional differential equations of arbitrary orders [J].
El-Sayed, AMA .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 33 (02) :181-186
[9]  
Hale J.K., 1977, THEORY FUNCTIONAL DI