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
  • [31] Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations
    Tariboon, Jessada
    Cuntavepanit, Asawathep
    Ntouyas, Sotiris K.
    Nithiarayaphaks, Woraphak
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [32] Boundary Value Problems for Nonlinear Implicit Caputo-Hadamard-Type Fractional Differential Equations with Impulses
    Benchohra, Mouffak
    Bouriah, Soufyane
    Graef, John R.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
  • [33] Sequential Caputo-Hadamard Fractional Differential Equations with Boundary Conditions in Banach Spaces
    Arul, Ramasamy
    Karthikeyan, Panjayan
    Karthikeyan, Kulandhaivel
    Alruwaily, Ymnah
    Almaghamsi, Lamya
    El-hady, El-sayed
    FRACTAL AND FRACTIONAL, 2022, 6 (12)
  • [34] COUPLED SYSTEMS OF CAPUTO-HADAMARD DIFFERENTIAL EQUATIONS WITH COUPLED HADAMARD FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Samadi, A.
    Ntouyas, S. K.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2021, 90 (04): : 457 - 474
  • [35] Existence of Monotone Positive Solutions for Caputo-Hadamard Nonlinear Fractional Differential Equation with Infinite-Point Boundary Value Conditions
    Guo, Limin
    Li, Cheng
    Zhao, Jingbo
    SYMMETRY-BASEL, 2023, 15 (05):
  • [36] Existence and Uniqueness Solutions of a BVP for Nonlinear Caputo-Hadamard Fractional Differential Equation
    Boutiara, Abdelatif
    Benbachir, Maamar
    Guerbati, Kaddour
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2022, 11 (02) : 359 - 374
  • [37] Caputo-Hadamard implicit fractional differential equations with delay
    Krim, Salim
    Abbas, Said
    Benchohra, Mouffak
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2021, 15 (01): : 463 - 484
  • [38] Caputo-Hadamard implicit fractional differential equations with delay
    Salim Krim
    Saïd Abbas
    Mouffak Benchohra
    São Paulo Journal of Mathematical Sciences, 2021, 15 : 463 - 484
  • [39] THE PARAREAL ALGORITHM FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS
    He, Tingting
    Lu, Jian
    Li, Min
    COMMUNICATIONS ON ANALYSIS AND COMPUTATION, 2024, 2 (04): : 432 - 453
  • [40] The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect
    Xianmin Zhang
    Advances in Difference Equations, 2015
12345