On Caputo-Hadamard type coupled systems of nonconvex fractional differential inclusions

被引:5
|
作者
Belmor, Samiha [1 ]
Jarad, Fahd [2 ,3 ]
Abdeljawad, Thabet [4 ,5 ]
机构
[1] Univ Batna 2, Dept Math, Batna 05078, Algeria
[2] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey
[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[4] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia
[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan
关键词
Hadamard fractional integral; Hadamard-Caputo fractional derivative; MT-function; P-function; Mizoguchi-Takahashi's condition; MULTIVALUED MAPPINGS;
D O I
10.1186/s13662-021-03534-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This research article is mainly concerned with the existence of solutions for a coupled Caputo-Hadamard of nonconvex fractional differential inclusions equipped with boundary conditions. We derive our main result by applying Mizoguchi-Takahashi's fixed point theorem with the help of P-function characterizations.
引用
收藏
页数:12
相关论文
共 20 条
  • [1] On Caputo–Hadamard type coupled systems of nonconvex fractional differential inclusions
    Samiha Belmor
    Fahd Jarad
    Thabet Abdeljawad
    Advances in Difference Equations, 2021
  • [2] Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions
    Aljoudi, Shorog
    Ahmad, Bashir
    Alsaedi, Ahmed
    FRACTAL AND FRACTIONAL, 2020, 4 (02) : 1 - 15
  • [3] Fractional integral problems for Hadamard-Caputo fractional Langevin differential inclusions
    Ntouyas S.K.
    Tariboon J.
    Journal of Applied Mathematics and Computing, 2016, 51 (1-2) : 13 - 33
  • [4] Sequential Riemann-Liouville and Hadamard-Caputo Fractional Differential Systems with Nonlocal Coupled Fractional Integral Boundary Conditions
    Kiataramkul, Chanakarn
    Yukunthorn, Weera
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    AXIOMS, 2021, 10 (03)
  • [5] A numerical method based on the hat functions to solve a category of nonlinear fractional integro-differential equations involving Caputo-Hadamard derivative
    Heydari, M. H.
    Navari, J.
    Hosseininia, M.
    Razzaghi, M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 463
  • [6] SOLVING A FRACTIONAL EVOLUTION EQUATION IN THE SENSE OF CAPUTO-HADAMARD WITH CAUCHY AND BOUNDARY CONDITIONS BY SBA METHOD
    Kabore, Germain
    Abbo, Bakari
    Some, Windjire
    So, Ousseni
    Some, Blaise
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2024, 31 (01): : 1 - 14
  • [7] Integro-differential equations implicated with Caputo-Hadamard derivatives under nonlocal boundary constraints
    Hammad, Hasanen A.
    Aydi, Hassen
    Kattan, Doha A.
    PHYSICA SCRIPTA, 2024, 99 (02)
  • [8] NONLOCAL INITIAL VALUE PROBLEMS FOR HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (04) : 1043 - 1068
  • [9] On the absence of global solutions to two-times-fractional differential inequalities involving Hadamard-Caputo and Caputo fractional derivatives
    Alazman, Ibtehal
    Jleli, Mohamed
    Samet, Bessem
    AIMS MATHEMATICS, 2022, 7 (04): : 5830 - 5843
  • [10] Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    Sudsutad, Weerawat
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (01): : 295 - 308