Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line

被引：6
|
作者：
Benchohra, Mouffak [1 ]
Graef, John R. [2 ]
Guerraiche, Nassim [3 ]
Hamani, Samira [3 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
[3] Univ Mostaganem, Lab Math Appliques & Pures, BP 227, Mostaganem 27000, Algeria
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 06期
关键词：
existence; fractional differential inclusions; Caputo-Hadamard type derivative; diagonalization method;
D O I：
10.3934/math.2021368
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order r is an element of (1, 2] on infinite intervals. Both cases of convex and nonconvex valued right hand sides are considered. The technique of proof involves fixed point theorems combined with a diagonalization method.
引用
收藏
页码：6278 / 6292
页数：15
相关论文
共 50 条
  • [1] OSCILLATION AND NONOSCILLATION FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACES
    Guerraiche, Nassim
    Hamani, Samira
    Henderson, Johnny
    FIXED POINT THEORY, 2023, 24 (02): : 611 - 626
  • [2] NONLINEAR IMPLICIT CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATION WITH FRACTIONAL BOUNDARY CONDITIONS
    Derdar, Nedjemeddine
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (4B): : 999 - 1014
  • [3] Topological degree theory and Caputo-Hadamard fractional boundary value problems
    Amara, Abdelkader
    Etemad, Sina
    Rezapour, Shahram
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [4] NONLINEAR BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL INCLUSIONS WITH CAPUTO FRACTIONAL DERIVATIVE
    Benchohra, Mouffak
    Hamani, Samira
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2008, 32 (01) : 115 - 130
  • [5] BOUNDARY VALUE PROBLEM FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATION WITH HADAMARD FRACTIONAL INTEGRAL AND ANTI-PERIODIC CONDITIONS
    Boutiara, Abdelatif
    Benbachir, Maamar
    Guerbati, Kaddour
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (04): : 735 - 748
  • [6] CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH INTEGRAL BOUNDARY CONDITIONS VIA FIXED POINT THEORY
    Lachouri, Adel
    Ardjouni, Abdelouaheb
    Gouri, Nesrine
    Khelil, Kamel Ali
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2022, 86 : 97 - 112
  • [7] BOUNDARY VALUE PROBLEMS FOR HADAMARD-CAPUTO IMPLICIT FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
    Zahed, Ahmed
    Hamani, Samira
    Graef, John R.
    ARCHIVUM MATHEMATICUM, 2021, 57 (05): : 285 - 297
  • [8] Caputo-Hadamard fractional boundary-value problems in L P-spaces
    Murad, Shayma Adil
    Rafeeq, Ava Shafeeq
    Abdeljawad, Thabet
    AIMS MATHEMATICS, 2024, 9 (07): : 17464 - 17488
  • [9] On a hybrid fractional Caputo-Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions
    Mohammadi, Hakimeh
    Rezapour, Shahram
    Etemad, Sina
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [10] Some Results on Fractional Boundary Value Problem for Caputo-Hadamard Fractional Impulsive Integro Differential Equations
    Alruwaily, Ymnah
    Venkatachalam, Kuppusamy
    El-hady, El-sayed
    FRACTAL AND FRACTIONAL, 2023, 7 (12)
12345