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
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 50 条
  • [1] On the solutions for impulsive fractional functional differential equations
    Chen F.
    Chen A.
    Wang X.
    Differential Equations and Dynamical Systems, 2009, 17 (4) : 379 - 391
  • [2] A class of piecewise fractional functional differential equations with impulsive
    Jia, Mei
    Li, Tingle
    Liu, Xiping
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (05) : 1683 - 1704
  • [3] A CLASS OF FRACTIONAL IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
    Liu, Yiliang
    Han, Jiangfeng
    MATHEMATICA SLOVACA, 2016, 66 (04) : 901 - 920
  • [4] IMPULSIVE FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH A WEAKLY CONTINUOUS NONLINEARITY
    Wang, Yejuan
    Gao, Fengshuang
    Kloeden, Peter
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [5] Analyze existence, uniqueness and controllability of impulsive fractional functional differential equations
    Muthuselvan, K.
    Vadivoo, B. Sundara
    ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2022, : 171 - 190
  • [6] Existence results for some impulsive partial functional fractional differential equations
    Hammouche, Hadda
    Lemkeddem, Mouna
    Guerbati, Kaddour
    Ezzinbi, Khalil
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (04)
  • [7] IMPULSIVE FUNCTIONAL-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER WITH VARIABLE MOMENTS
    Ergoren, H.
    UKRAINIAN MATHEMATICAL JOURNAL, 2017, 68 (09) : 1340 - 1352
  • [8] Impulsive Functional-Differential Equations of Fractional Order with Variable Moments
    H. Ergӧren
    Ukrainian Mathematical Journal, 2017, 68 : 1340 - 1352
  • [9] On a new class of abstract impulsive functional differential equations of fractional order
    Kumar, Pradeep
    Pandey, Dwijendra N.
    Bahuguna, D.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (02): : 102 - 114
  • [10] Fractional Differential Equations with Impulsive Effects
    Feckan, Michal
    Danca, Marius-F.
    Chen, Guanrong
    FRACTAL AND FRACTIONAL, 2024, 8 (09)