EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A CLASS OF NONLINEAR FRACTIONAL ORDER DIFFERENTIAL EQUATIONS WITH DELAY

被引:0
|
作者
Xiaogang Liu [1 ]
机构
[1] Modern College of Northwest University
关键词
fractional order differential equations; solution; existence; uniqueness; delay;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
A class of nonlinear fractional order differential equations with delay is investigated in this paper.Using Leray-Schauder fixed point theorem and the contraction mapping theorem,we obtain some sufficient conditions for the existence and uniqueness of solutions to the fractional order differential equations.
引用
收藏
页码:157 / 165
页数:9
相关论文
共 50 条
  • [41] Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions
    Nanware, J. A.
    Dhaigude, D. B.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (04): : 246 - 254
  • [42] On the Existence and Uniqueness of Solutions for Multidimensional Fractional Stochastic Differential Equations with Variable Order
    Moualkia, Seyfeddine
    Xu, Yong
    MATHEMATICS, 2021, 9 (17)
  • [43] Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations
    Li, Qiuping
    Sun, Shurong
    Zhao, Ping
    Han, Zhenlai
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [44] Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
    Zhang, Xinguang
    Han, Yuefeng
    APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 555 - 560
  • [45] Existence and uniqueness of solutions for nonlinear general fractional differential equations in Banach spaces
    Mei, Zhan-Dong
    Peng, Ji-Gen
    Gao, Jing-Huai
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2015, 26 (04): : 669 - 678
  • [46] Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
    Deng, Jiqin
    Ma, Lifeng
    APPLIED MATHEMATICS LETTERS, 2010, 23 (06) : 676 - 680
  • [47] Existence and uniqueness for a class of iterative fractional differential equations
    Rabha W Ibrahim
    Adem Kılıçman
    Faten H Damag
    Advances in Difference Equations, 2015
  • [48] Existence and uniqueness for a class of iterative fractional differential equations
    Ibrahim, Rabha W.
    Kilicman, Adem
    Damag, Faten H.
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 13
  • [49] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Sharifov, Yagub A.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 36 (44): : 125 - 134
  • [50] ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
    Darzi, R.
    Mohammadzadeh, B.
    Neamaty, A.
    Baleanu, D.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (01) : 152 - 162