Impulsive fractional differential equations with variable times

被引:24
|
作者
Benchohra, Mouffak [1 ]
Berhoun, Farida [1 ]
机构
[1] Univ Sidi Bel Abbis, Math Lab, Sidi Bel Abbes 22000, Algeria
关键词
Initial value problem; Impulses; Variable times; Caputo fractional derivative; Fractional integral; Existence; Fixed point; EXISTENCE; ORDER; UNIQUENESS;
D O I
10.1016/j.camwa.2009.05.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations with variable times involving the Caputo fractional derivative. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1245 / 1252
页数:8
相关论文
共 50 条
  • [21] Impulsive Hilfer fractional differential equations
    Ahmed, Hamdy M.
    El-Borai, Mahmoud M.
    El-Owaidy, Hassan M.
    Ghanem, Ahmed S.
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [22] Periodic impulsive fractional differential equations
    Feckan, Michal
    Wang, Jin Rong
    ADVANCES IN NONLINEAR ANALYSIS, 2019, 8 (01) : 482 - 496
  • [23] A SURVEY ON IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
    Wang, JinRong
    Feckan, Michal
    Zhou, Yong
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (04) : 806 - 831
  • [24] Impulsive Hilfer fractional differential equations
    Hamdy M. Ahmed
    Mahmoud M. El-Borai
    Hassan M. El-Owaidy
    Ahmed S. Ghanem
    Advances in Difference Equations, 2018
  • [25] Existence of solution nth-order impulsive differential equations with variable times
    Wang, YL
    Wen, CB
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 554 - 562
  • [26] Impulsive fractional partial differential equations
    Guo, Tian Liang
    Zhang, KanJian
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 581 - 590
  • [27] COMPARISON PRINCIPLE FOR IMPULSIVE DIFFERENTIAL-EQUATIONS WITH VARIABLE TIMES AND STABILITY THEORY
    LAKSHMIKANTHAM, V
    LEELA, S
    KAUL, S
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (04) : 499 - 503
  • [28] Existence of solutions for impulsive fractional Langevin functional differential equations with variable parameter
    Haihua Wang
    Xiaoyan Lin
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016, 110 : 79 - 96
  • [29] Existence of solutions for impulsive fractional Langevin functional differential equations with variable parameter
    Wang, Haihua
    Lin, Xiaoyan
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (01) : 79 - 96
  • [30] Functional boundary value problem for first order impulsive differential equations at variable times
    Zhang, FQ
    Ma, Z
    Yan, JR
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (05): : 733 - 742