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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-08-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0853-2 |
| _version_ | 1819211327019679744 |
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| author | Yi Chen Zhanmei Lv Liang Zhang |
| author_facet | Yi Chen Zhanmei Lv Liang Zhang |
| author_sort | Yi Chen |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-23T06:25:18Z |
| format | Article |
| id | doaj.art-2ce36b4ca5a544549a57bd75183788f7 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-23T06:25:18Z |
| publishDate | 2017-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-2ce36b4ca5a544549a57bd75183788f72022-12-21T17:57:05ZengSpringerOpenBoundary 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 |
| 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 |
| title | 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_short | 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 |
| topic | fractional order abstract evolution equations mild solutions monotone iterative method |
| url | http://link.springer.com/article/10.1186/s13661-017-0853-2 |
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