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
来源：
Annals of Applied Mathematics | 2014年 / 02期
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
  • [31] Existence and Properties of Solutions for a Class of Fractional Differential Equations
    Yong-qiang Xu
    Shu-hong Chen
    Zhong Tan
    Acta Mathematicae Applicatae Sinica, English Series, 2021, 37 : 477 - 484
  • [32] On the global existence of solutions to a class of semilinear fractional order system with delay
    Xu, Mengrui
    Sun, Shurong
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2019, 9 (04) : 313 - 323
  • [33] EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS
    Chen, Peiying
    ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2017, 24 : 38 - 52
  • [34] Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions
    Mardanov, M. J.
    Sharifov, Y. A.
    Aliyev, H. N.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 726 - 735
  • [35] Existence and uniqueness of solutions for a coupled system of multi-term nonlinear fractional differential equations
    Sun, Shurong
    Li, Qiuping
    Li, Yanan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3310 - 3320
  • [36] Existence and Properties of Solutions for a Class of Fractional Differential Equations
    Yong-qiang XU
    Shu-hong CHEN
    Zhong TAN
    Acta Mathematicae Applicatae Sinica, 2021, 37 (03) : 477 - 484
  • [37] Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with ψ-Caputo derivative
    Bouriah, Soufyane
    Foukrach, Djamal
    Benchohra, Mouffak
    Graef, John
    ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (03) : 575 - 587
  • [38] Existence and uniqueness for a class of multi-term fractional differential equations
    Qiuping Li
    Chuanxia Hou
    Liying Sun
    Zhenlai Han
    Journal of Applied Mathematics and Computing, 2017, 53 : 383 - 395
  • [39] EXISTENCE OF NONOSCILLATORY SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS
    Ilavska, Iveta
    Najmanova, Anna
    Olach, Rudolf
    APLIMAT 2009: 8TH INTERNATIONAL CONFERENCE, PROCEEDINGS, 2009, : 159 - 164
  • [40] On the existence of solutions for a class of fractional differential equations
    Wang, JinRong
    Dong, XiWang
    Wei, Wei
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2012, 57 (01): : 15 - 24
12345