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

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