Existence and continuous dependence for weighted fractional differential equations with infinite delay

被引：0
|
作者：
Qixiang Dong
机构：
[1] Yangzhou University,School of Mathematical Sciences
来源：
Advances in Difference Equations | / 2014卷
关键词：
fractional integral; fractional derivative; functional differential equation; infinite delay;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with weighted fractional differential equations with infinite delay, the Riemann-Liouville derivative, and nonzero initial values. Existence and continuous dependence results of solutions are obtained. An illustrative example is also presented.
引用
收藏
相关论文
共 50 条
  • [1] Existence and continuous dependence for weighted fractional differential equations with infinite delay
    Dong, Qixiang
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [2] Existence and continuous dependence of mild solutions for fractional abstract differential equations with infinite delay
    Ye, Haiping
    Liu, Jiao
    Gao, Jianming
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (56) : 1 - 20
  • [3] Existence and uniqueness for fractional neutral differential equations with infinite delay
    Zhou, Yong
    Jiao, Feng
    Li, Jing
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 3249 - 3256
  • [4] Weighted fractional differential equations with infinite delay in Banach spaces
    Dong, Qixiang
    Liu, Can
    Fan, Zhenbin
    OPEN MATHEMATICS, 2016, 14 : 370 - 383
  • [5] An existence result for fractional differential equations of neutral type with infinite delay
    Li, Fang
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (52) : 1 - 15
  • [6] Existence results for fractional order functional differential equations with infinite delay
    Benchohra, A.
    Henderson, J.
    Ntouyas, S. K.
    Ouahab, A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) : 1340 - 1350
  • [7] Existence of Mild Solution of the Hilfer Fractional Differential Equations with Infinite Delay on an Infinite Interval
    Bose, Chandrabose Sindhu Varun
    Udhayakumar, Ramalingam
    Savatovic, Milica
    Deiveegan, Arumugam
    Todorcevic, Vesna
    Radenovic, Stojan
    FRACTAL AND FRACTIONAL, 2023, 7 (10)
  • [8] Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations
    Dong, Qixiang
    Wu, Guangxian
    Zhu, Lanping
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [9] Existence and continuous dependence results for nonlinear differential inclusions with infinite delay
    Fan, Zhenbin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) : 2379 - 2392
  • [10] The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay
    Babakhani, Azizollah
    Baleanu, Dumitru
    Agarwal, Ravi P.
    ABSTRACT AND APPLIED ANALYSIS, 2013,
12345