UPPER AND LOWER SOLUTIONS METHODS FOR IMPULSIVE CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS

被引：0
|
作者：
Belhannache, Farida [1 ]
Hamani, Samira [2 ]
Henderson, Johnny [3 ]
机构：
[1] Univ Mohamed Seddik Ben Yahia Jijel, Dept Math, Jijel 18000, Algeria
[2] Univ Mostaganem, Lab Math Appl & Pures, BP 227, Mostaganem 27000, Algeria
[3] Baylor Univ, Dept Math, Waco, TX 76798 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年
关键词：
Initial value problem; fractional differential equation; impulsive equation; Caputo-Hadamard fractional derivative; fractional integral; fixed point theorem; upper and lower solutions; POSITIVE PERIODIC-SOLUTIONS; PREDATOR-PREY MODEL; PULSE VACCINATION; CONTROLLABILITY; INTEGRATION; CALCULUS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we use the method of lower and upper solutions combined with the fixed point theorem by Bohnnenblust-Karlin to show the existence of solutions for initial-value problems of impulsive Caputo-Hadamard fractional differential inclusions of order alpha is an element of (0, 1).
引用
收藏
页数：13
相关论文
共 50 条
  • [1] UPPER AND LOWER SOLUTION METHODS FOR IMPULSIVE CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS
    Hammou, Amouria
    Hamani, Samira
    Henderson, Johnny
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (06) : 1817 - 1831
  • [2] Oscillation and nonoscillation for Caputo-Hadamard impulsive fractional differential inclusions
    Benchohra, Mouffak
    Hamani, Samira
    Zhou, Yong
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [3] On impulsive partial differential equations with Caputo-Hadamard fractional derivatives
    Xianmin Zhang
    [J]. Advances in Difference Equations, 2016
  • [4] On impulsive partial differential equations with Caputo-Hadamard fractional derivatives
    Zhang, Xianmin
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [5] On Caputo-Hadamard type coupled systems of nonconvex fractional differential inclusions
    Belmor, Samiha
    Jarad, Fahd
    Abdeljawad, Thabet
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [6] On Caputo-Hadamard fractional differential equations
    Gohar, Madiha
    Li, Changpin
    Yin, Chuntao
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (07) : 1459 - 1483
  • [7] Oscillation and nonoscillation for Caputo–Hadamard impulsive fractional differential inclusions
    Mouffak Benchohra
    Samira Hamani
    Yong Zhou
    [J]. Advances in Difference Equations, 2019
  • [8] OSCILLATION AND NONOSCILLATION FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACES
    Guerraiche, Nassim
    Hamani, Samira
    Henderson, Johnny
    [J]. FIXED POINT THEORY, 2023, 24 (02): : 611 - 626
  • [9] Finite Difference Methods for Caputo-Hadamard Fractional Differential Equations
    Gohar, Madiha
    Li, Changpin
    Li, Zhiqiang
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (06)
  • [10] On Caputo-Hadamard uncertain fractional differential equations
    Liu, Yiyu
    Zhu, Yuanguo
    Lu, Ziciiang
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 146
12345