A class of piecewise fractional functional differential equations with impulsive

被引：0
|
作者：
Jia, Mei [1 ]
Li, Tingle [1 ]
Liu, Xiping [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 05期
基金：
中国国家自然科学基金;
关键词：
boundary value problems; fixed point theorems; impulses; piecewise fractional functional differential equations; positive solutions; the existence and uniqueness of solutions; ITERATIVE POSITIVE SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; COUPLED SYSTEMS; EXISTENCE; SOLVABILITY; UNIQUENESS; HADAMARD;
D O I：
10.1515/ijnsns-2021-0306
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we study a class of piecewise fractional functional differential equations with impulsive and integral boundary conditions. By using Schauder fixed point theorem and contraction mapping principle, the results for existence and uniqueness of solutions for the piecewise fractional functional differential equations are established. And by using cone stretching and cone contraction fixed point theorems in norm form, the existence of positive solutions for the equations are also obtained. Finally, an example is given to illustrate the effectiveness of the conclusion.
引用
收藏
页码：1683 / 1704
页数：22
相关论文
共 50 条
  • [31] Monotone Iterative Technique for Nonlinear Impulsive Conformable Fractional Differential Equations With Delay
    Thaiprayoon, Chatthai
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2021, 12 (01): : 11 - 27
  • [32] Existence of solutions for fractional impulsive neutral functional differential equations with infinite delay
    Liao, Jiawu
    Chen, Fulai
    Hu, Sanqing
    NEUROCOMPUTING, 2013, 122 : 156 - 162
  • [33] PIECEWISE CONTINUOUS SOLUTIONS OF IMPULSIVE LANGEVIN TYPE EQUATIONS INVOLVING TWO CAPUTO FRACTIONAL DERIVATIVES AND APPLICATIONS
    Liu, Yuji
    Agarwal, Ravi
    DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (02): : 409 - 439
  • [34] Solvability of triple-point integral boundary value problems for a class of impulsive fractional differential equations
    Zhao, Kaihong
    Liang, Jiangyan
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [35] Ultimate boundedness of impulsive fractional differential equations
    Xu, Liguang
    Hu, Hongxiao
    Qin, Fajin
    APPLIED MATHEMATICS LETTERS, 2016, 62 : 110 - 117
  • [36] A note on the mild solutions of Hilfer impulsive fractional differential equations
    Sousa, J. Vanterler da C.
    Oliveira, D. S.
    de Oliveira, E. Capelas
    CHAOS SOLITONS & FRACTALS, 2021, 147
  • [37] Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations
    Liu, Zhenhai
    Li, Xiuwen
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (06) : 1362 - 1373
  • [38] APPLICATIONS OF VARIATIONAL METHODS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH A PARAMETER
    Gao, Dongdong
    Li, Jianli
    DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (04): : 973 - 987
  • [39] System of fractional differential equations with Erdelyi-Kober fractional integral conditions
    Thongsalee, Natthaphong
    Laoprasittichok, Sorasak
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    OPEN MATHEMATICS, 2015, 13 : 847 - 859
  • [40] General methods for converting impulsive fractional differential equations to integral equations and applications
    Liu, Yuji
    MATHEMATISCHE NACHRICHTEN, 2018, 291 (2-3) : 443 - 491
12345