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

[1] BOUNDARY VALUE PROBLEMS FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACES
Hammou, Amouria
Hamani, Samira
Henderson, Johnny
ARCHIVUM MATHEMATICUM, 2022, 58 (04): : 227 - 240
[2] INTEGRAL BOUNDARY VALUE PROBLEMS FOR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING HADAMARD AND CAPUTO-HADAMARD FRACTIONAL DERIVATIVES
Karthikeyan, P.
Arul, R.
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (03): : 331 - 341
[3] NONLINEAR IMPLICIT CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATION WITH FRACTIONAL BOUNDARY CONDITIONS
Derdar, Nedjemeddine
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (4B): : 999 - 1014
[4] Topological degree theory and Caputo-Hadamard fractional boundary value problems
Amara, Abdelkader
Etemad, Sina
Rezapour, Shahram
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[5] A method for solving Caputo-Hadamard fractional initial and boundary value problems
Saeed, Umer
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (13) : 13907 - 13921
[6] 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
[7] Oscillation and nonoscillation for Caputo-Hadamard impulsive fractional differential inclusions
Benchohra, Mouffak
Hamani, Samira
Zhou, Yong
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[8] 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
[9] SOLUTIONS OF CAUCHY PROBLEMS WITH CAPUTO-HADAMARD FRACTIONAL DERIVATIVES
Manohar, Pratibha
Chanchlani, Lata
Mallah, Ishfaq Ahmad
JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2021, 20 (3-4): : 165 - 174
[10] 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

← 1 2 3 4 5 →