$Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval$

Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval

Abstract Based on an equivalent integral equation of a new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution equations with nonlocal conditions on infinite interval. Without th...

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Main Authors:	Yi Chen, Zhanmei Lv, Liang Zhang
Format:	Article
Language:	English
Published:	SpringerOpen 2017-08-01
Series:	Boundary Value Problems
Subjects:	fractional order abstract evolution equations mild solutions monotone iterative method
Online Access:	http://link.springer.com/article/10.1186/s13661-017-0853-2

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spelling	doaj-2ce36b4ca5a544549a57bd75183788f72020-11-24T21:40:13ZengSpringerOpenBoundary Value Problems1687-27702017-08-012017111510.1186/s13661-017-0853-2Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite intervalYi Chen0Zhanmei Lv1Liang Zhang2School of Mathematics, China University of Mining and TechnologySchool of Business, Central South UniversitySchool of Mathematical Sciences, University of JinanAbstract Based on an equivalent integral equation of a new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution equations with nonlocal conditions on infinite interval. Without the assumption of lower and upper solutions, we present a new result on the existence and uniqueness of positive mild solutions for the abstract fractional evolution equations by using the monotone iterative method.http://link.springer.com/article/10.1186/s13661-017-0853-2fractional orderabstract evolution equationsmild solutionsmonotone iterative method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yi Chen Zhanmei Lv Liang Zhang
spellingShingle	Yi Chen Zhanmei Lv Liang Zhang Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval Boundary Value Problems fractional order abstract evolution equations mild solutions monotone iterative method
author_facet	Yi Chen Zhanmei Lv Liang Zhang
author_sort	Yi Chen
title	Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
title_short	Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
title_full	Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
title_fullStr	Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
title_full_unstemmed	Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
title_sort	existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2017-08-01
description	Abstract Based on an equivalent integral equation of a new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution equations with nonlocal conditions on infinite interval. Without the assumption of lower and upper solutions, we present a new result on the existence and uniqueness of positive mild solutions for the abstract fractional evolution equations by using the monotone iterative method.
topic	fractional order abstract evolution equations mild solutions monotone iterative method
url	http://link.springer.com/article/10.1186/s13661-017-0853-2
work_keys_str_mv	AT yichen existenceanduniquenessofpositivemildsolutionsforaclassoffractionalevolutionequationsoninfiniteinterval AT zhanmeilv existenceanduniquenessofpositivemildsolutionsforaclassoffractionalevolutionequationsoninfiniteinterval AT liangzhang existenceanduniquenessofpositivemildsolutionsforaclassoffractionalevolutionequationsoninfiniteinterval
_version_	1725927298531590144

Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval

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