Fixed-point theorems for systems of operator equations and their applications to the fractional differential equations
type: Item
instance of: scholarly article
title: Fixed-point theorems for systems of operator equations and their applications to the fractional differential equations
zbMATH Open document ID: 1477.47057
DOI: 10.1155/2018/7469868
author: Xinqiu Zhang
author: Yumei Zou
author: Lishan Liu
published in: Journal of Function Spaces
publication date: 2018-09-06T00:00:00Z
review text: Summary: We study the existence and uniqueness of positive solution for a class of nonlinear binary operator equations systems by means of the cone theory and monotone iterative technique, under more general conditions. Also, we give the iterative sequence of the solution and the error estimation of the system. Moreover, we use this new result to study the existence and uniqueness of the solutions for fractional differential equations systems involving integral boundary value conditions in ordered Banach spaces as an application. The results obtained in this paper are more general than many previous results and complement them.
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6933357
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: positive solution
zbMATH Keywords: nonlinear binary operator equations
zbMATH Keywords: monotone iterative technique
zbMATH Keywords: fractional differential equations
zbMATH Keywords: ordered Banach spaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7469868
OpenAlex ID: W2885250620
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Wikidata QID: Q129410979
description: scientific article; zbMATH DE number 6933357