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

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 app...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 7; pp. 7229 - 7250
Main Authors Li, Yaohong, Xu, Jiafa, Luo, Honglin
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
fractional differential equation
hadamard type fractional derivative
infinite interval
monotone iterative technique
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021424