Monotone iterative method for two types of integral boundary value problems of a nonlinear fractional differential system with deviating arguments
type: Item
instance of: scholarly article
title: Monotone iterative method for two types of integral boundary value problems of a nonlinear fractional differential system with deviating arguments
zbMATH Open document ID: 1477.34103
DOI: 10.1155/2021/6650811
author: Jungang Chen
author: Xi Qin
published in: Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: Summary: This paper concerns on two types of integral boundary value problems of a nonlinear fractional differential system, \textit{i.e.}, nonlocal strip integral boundary value problems and coupled integral boundary value problems. With the aid of the monotone iterative method combined with the upper and lower solutions, the existence of extremal system of solutions for the above two types of differential systems is investigated. In addition, a new comparison theorem for fractional differential system is also established, which is crucial for the proof of the main theorem of this paper. At the end, an example explaining how our studies can be used is also given.
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34K07
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 7393937
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6650811
OpenAlex ID: W3118666804
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description: scientific article; zbMATH DE number 7393937