$Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line$

Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line

Abstract In this paper we consider a fractional differential system with coupled integral boundary value problems on a half-line, where the nonlinearity terms depend on unknown functions and the lower-order fractional derivative of unknown functions, and the fractional infinite boundary value condit...

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Main Authors:	Haiyan Zhang, Yongqing Wang, Jiafa Xu
Format:	Article
Language:	English
Published:	SpringerOpen 2020-08-01
Series:	Advances in Difference Equations
Subjects:	Monotone iterative technique Iterative sequences Fractional differential system Integral boundary value problems Half-line
Online Access:	http://link.springer.com/article/10.1186/s13662-020-02860-1

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spelling	doaj-a4a3bf6d6829483d97a754858b825bfe2020-11-25T03:25:46ZengSpringerOpenAdvances in Difference Equations1687-18472020-08-012020112010.1186/s13662-020-02860-1Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-lineHaiyan Zhang0Yongqing Wang1Jiafa Xu2School of Mathematics and Statistics, Suzhou UniversitySchool of Mathematical Sciences, Qufu Normal UniversitySchool of Mathematical Sciences, Chongqing Normal UniversityAbstract In this paper we consider a fractional differential system with coupled integral boundary value problems on a half-line, where the nonlinearity terms depend on unknown functions and the lower-order fractional derivative of unknown functions, and the fractional infinite boundary value conditions depend on the coupled infinite integral of unknown functions. By virtue of the monotone iterative technique, we find two explicit monotone iterative sequences which converge to the positive minimal and maximal solutions when the nonlinearities can satisfy certain nonlinear growth conditions.http://link.springer.com/article/10.1186/s13662-020-02860-1Monotone iterative techniqueIterative sequencesFractional differential systemIntegral boundary value problemsHalf-line
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Haiyan Zhang Yongqing Wang Jiafa Xu
spellingShingle	Haiyan Zhang Yongqing Wang Jiafa Xu Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line Advances in Difference Equations Monotone iterative technique Iterative sequences Fractional differential system Integral boundary value problems Half-line
author_facet	Haiyan Zhang Yongqing Wang Jiafa Xu
author_sort	Haiyan Zhang
title	Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line
title_short	Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line
title_full	Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line
title_fullStr	Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line
title_full_unstemmed	Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line
title_sort	explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-08-01
description	Abstract In this paper we consider a fractional differential system with coupled integral boundary value problems on a half-line, where the nonlinearity terms depend on unknown functions and the lower-order fractional derivative of unknown functions, and the fractional infinite boundary value conditions depend on the coupled infinite integral of unknown functions. By virtue of the monotone iterative technique, we find two explicit monotone iterative sequences which converge to the positive minimal and maximal solutions when the nonlinearities can satisfy certain nonlinear growth conditions.
topic	Monotone iterative technique Iterative sequences Fractional differential system Integral boundary value problems Half-line
url	http://link.springer.com/article/10.1186/s13662-020-02860-1
work_keys_str_mv	AT haiyanzhang explicitmonotoneiterativesequencesforpositivesolutionsofafractionaldifferentialsystemwithcoupledintegralboundaryconditionsonahalfline AT yongqingwang explicitmonotoneiterativesequencesforpositivesolutionsofafractionaldifferentialsystemwithcoupledintegralboundaryconditionsonahalfline AT jiafaxu explicitmonotoneiterativesequencesforpositivesolutionsofafractionaldifferentialsystemwithcoupledintegralboundaryconditionsonahalfline
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Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line

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