An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces

An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces

This paper is to investigate the existence and uniqueness of solutions for an integral boundary value problem of new fractional differential equations with a sign-changed parameter in Banach spaces. The main used approach is a recent fixed point theorem of increasing Ψ−h,r-concave operators defined...

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Main Authors: Chen Yang, Yaru Guo, Chengbo Zhai
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/9567931
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spelling doaj-a1cdaa2bfc14497887ce903cf59459312021-02-22T00:00:58ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/9567931An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach SpacesChen Yang0Yaru Guo1Chengbo Zhai2Basic Course DepartmentSchool of Mathematical SciencesSchool of Mathematical SciencesThis paper is to investigate the existence and uniqueness of solutions for an integral boundary value problem of new fractional differential equations with a sign-changed parameter in Banach spaces. The main used approach is a recent fixed point theorem of increasing Ψ−h,r-concave operators defined on ordered sets. In addition, we can present a monotone iterative scheme to approximate the unique solution. In the end, two simple examples are given to illustrate our main results.http://dx.doi.org/10.1155/2021/9567931
collection DOAJ
language English
format Article
sources DOAJ
author Chen Yang
Yaru Guo
Chengbo Zhai
spellingShingle Chen Yang
Yaru Guo
Chengbo Zhai
An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces
Complexity
author_facet Chen Yang
Yaru Guo
Chengbo Zhai
author_sort Chen Yang
title An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces
title_short An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces
title_full An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces
title_fullStr An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces
title_full_unstemmed An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces
title_sort integral boundary value problem of fractional differential equations with a sign-changed parameter in banach spaces
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description This paper is to investigate the existence and uniqueness of solutions for an integral boundary value problem of new fractional differential equations with a sign-changed parameter in Banach spaces. The main used approach is a recent fixed point theorem of increasing Ψ−h,r-concave operators defined on ordered sets. In addition, we can present a monotone iterative scheme to approximate the unique solution. In the end, two simple examples are given to illustrate our main results.
url http://dx.doi.org/10.1155/2021/9567931
work_keys_str_mv AT chenyang anintegralboundaryvalueproblemoffractionaldifferentialequationswithasignchangedparameterinbanachspaces
AT yaruguo anintegralboundaryvalueproblemoffractionaldifferentialequationswithasignchangedparameterinbanachspaces
AT chengbozhai anintegralboundaryvalueproblemoffractionaldifferentialequationswithasignchangedparameterinbanachspaces
AT chenyang integralboundaryvalueproblemoffractionaldifferentialequationswithasignchangedparameterinbanachspaces
AT yaruguo integralboundaryvalueproblemoffractionaldifferentialequationswithasignchangedparameterinbanachspaces
AT chengbozhai integralboundaryvalueproblemoffractionaldifferentialequationswithasignchangedparameterinbanachspaces
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