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

页码：6278 / 6292

页数：15

共 50 条

[31] Functional Impulsive Fractional Differential Equations Involving the Caputo-Hadamard Derivative and Integral Boundary Conditions
Irguedi, Aida
Nisse, Khadidja
Hamani, Samira
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
[32] POSITIVE SOLUTIONS FOR FIRST-ORDER NONLINEAR CAPUTO-HADAMARD FRACTIONAL RELAXATION DIFFERENTIAL EQUATIONS
Ardjouni, Abdelouaheb
Djoudi, Ahcene
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (06): : 897 - 908
[33] Convergence analysis of positive solution for Caputo-Hadamard fractional differential equation
Guo, Limin
Li, Cheng
Qiao, Nan
Zhao, Jingbo
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2025, 30 (02): : 212 - 230
[34] 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)
[35] Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory
Derbazi, Choukri
Hammouche, Hadda
AIMS MATHEMATICS, 2020, 5 (03): : 2694 - 2709
[36] MILD SOLUTIONS OF COUPLED HYBRID FRACTIONAL ORDER SYSTEM WITH CAPUTO-HADAMARD DERIVATIVES
Bedi, Pallavi
Kumar, Anoop
Abdeljawad, Thabet
Khan, Aziz
Gomez-Aguilar, J. F.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (06)
[37] On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions
Yukunthorn, Weera
Ahmad, Bashir
Ntouyas, Sotiris K.
Tariboon, Jessada
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 19 : 77 - 92
[38] A Coupled System of Caputo-Hadamard Fractional Hybrid Differential Equations with Three-Point Boundary Conditions
Arab, Meraa
Awadalla, Muath
MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
[39] On a fractional Caputo-Hadamard inclusion problem with sum boundary value conditions by using approximate endpoint property
Etemad, Sina
Rezapour, Shahram
Samei, Mohammad Esmael
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (17) : 9719 - 9734
[40] Boundary Value Problems for Hybrid Caputo Fractional Differential Equations
Baitiche, Zidane
Guerbati, Kaddour
Benchohra, Mouffak
Zhou, Yong
MATHEMATICS, 2019, 7 (03):

← 1 2 3 4 5 →