OSCILLATION AND NONOSCILLATION FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACES

被引：0

作者：

Guerraiche, Nassim ^{[1
]}

Hamani, Samira ^{[2
]}

Henderson, Johnny ^{[3
]}

机构：

[1] Univ Constantine 2, Dept Informat Fondamentale & ses Applicat, BP 67A, Constantine, Algeria

[2] Univ Mostaganem, Lab Math Appl & Pures, BP 227, Mostaganem 27000, Algeria

[3] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

FIXED POINT THEORY | 2023年 / 24卷 / 02期

关键词：

Existence; oscillatory; nonoscillatory; fractional differential inclusions; Caputo-Hadamard type derivative; fixed point; measure of noncompactness;

D O I：

10.24193/fpt-ro.2023.2.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For r & ISIN; (1, 2], we establish sufficient conditions for the existence of oscillatory and nonoscillatory solutions to a boundary value problem for an rth order Caputo-Hadamard fractional differential inclusion in a Banach space. Our approach is based upon the set-valued analog of Mo & BULL;nch's fixed point theorem combined with the technique of measure of noncompactness.

引用

页码：611 / 626

页数：16

共 50 条

[21] EXISTENCE AND STABILITY FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DELAY DIFFERENTIAL EQUATIONS
Haoues, M.
Ardjouni, A.
Djoudi, A.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2020, 89 (02): : 225 - 242
[22] 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
[23] Existence and uniqueness results on coupled Caputo-Hadamard fractional differential equations in a bounded domain
Buvaneswari, Karthikeyan
Karthikeyan, Panjaiyan
Karthikeyan, Kulandhivel
Ege, Ozgur
FILOMAT, 2024, 38 (04) : 1489 - 1496
[24] Impulsive fractional differential equations with state-dependent delay involving the Caputo-Hadamard derivative
Hammou, Amouria
Hamani, Samira
Henderson, Johnny
FILOMAT, 2023, 37 (05) : 1581 - 1590
[25] Results on non local impulsive implicit Caputo-Hadamard fractional differential equations
Venkatachalam, K.
Kumar, M. Sathish
Jayakumar, P.
MATHEMATICAL MODELLING AND CONTROL, 2024, 4 (03): : 286 - 296
[26] On Systems of Differential Inclusions of Fractional Order in Banach Spaces
V. V. Obukhovskii
M. I. Kamenskii
G. G. Petrosyan
T. A. Ul’vacheva
S. Zeng
Siberian Mathematical Journal, 2025, 66 (2) : 303 - 314
[27] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR CAPUTO-HADAMARD SEQUENTIAL FRACTIONAL ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Ahmad, Bashir
Ntouyas, Sotiris K.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[28] The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect
Zhang, Xianmin
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[29] Multiterm Impulsive Caputo-Hadamard Type Differential Equations of Fractional Variable Order
Benkerrouche, Amar
Souid, Mohammed Said
Stamov, Gani
Stamova, Ivanka
AXIOMS, 2022, 11 (11)
[30] A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces
Wang, JinRong
Ibrahim, A. G.
O'Regan, D.
Zhou, Yong
ADVANCES IN DIFFERENCE EQUATIONS, 2017,

← 1 2 3 4 5 →