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Approximate iterative sequences for positive solutions of a Hadamard type fractional differential system involving Hadamard type fractional derivatives

Authors :
Yaohong Li
Jiafa Xu
Honglin Luo
Source :
AIMS Mathematics, Vol 6, Iss 7, Pp 7229-7250 (2021)
Publication Year :
2021
Publisher :
AIMS Press, 2021.

Abstract

In this paper, we focus on a class of Hadamard type fractional differential system involving Hadamard type fractional derivatives on an infinite interval. By utilizing the monotone iterative technique and Banach's contraction mapping principle, some explicit monotone iterative sequences for approximating the extreme positive solutions and the unique positive solution for the system are constructed.

Details

Language :
English
ISSN :
24736988
Volume :
6
Issue :
7
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.76c18dcac92c411289793ea8a39c8879
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2021424?viewType=HTML