Impulsive fractional functional differential equations

被引：60
作者：
Guo, Tian Liang [1 ]
Jiang, Wei [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230039, Anhui, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Fractional functional differential equation; Impulse; Existence; Uniqueness; Data dependence; EVOLUTION-EQUATIONS; INFINITE DELAY; EXISTENCE; UNIQUENESS;
D O I：
10.1016/j.camwa.2011.12.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of impulsive fractional functional differential equations is investigated. The first purpose is introducing a natural formula of solutions for impulsive fractional functional differential equations. The second purpose is establishing related new existence, uniqueness and data dependence results. Examples are given to illustrate the results. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3414 / 3424
页数：11
相关论文
共 30 条
  • [1] A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions
    Agarwal, Ravi P.
    Benchohra, Mouffak
    Hamani, Samira
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) : 973 - 1033
  • [2] Ahmad B, 2010, TOPOL METHOD NONL AN, V35, P295
  • [3] [Anonymous], 2011, ELECTRON J QUAL THEO
  • [4] [Anonymous], 2010, LECT NOTES MATH
  • [5] [Anonymous], 1993, DISSERTATIONES MATH
  • [6] [Anonymous], 1993, INTRO FRACTIONAL CA
  • [7] [Anonymous], 1999, FRACTIONAL DIFFERENT
  • [8] [Anonymous], 2006, Journal of the Electrochemical Society
  • [9] [Anonymous], 2006, CONT MATH ITS APPL
  • [10] On positive solutions of a nonlocal fractional boundary value problem
    Bai, Zhanbing
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 916 - 924
123