Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval
Abstract By means of a Laplace transform and its inverse transform, we obtain a correct equivalent integral equation for some kind of nonlocal abstract differential equations (fractional order) on the right half-axis. Based on it, the existence result is established by Knaster’s theorem, and the uni...
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SpringerOpen
2018-11-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1095-7 |
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doaj-8c8ed4955a0543f284ba57d17155ee6e2020-11-25T02:55:10ZengSpringerOpenBoundary Value Problems1687-27702018-11-012018111310.1186/s13661-018-1095-7Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded intervalZhanmei Lv0Yanping Gong1Yi Chen2School of Business, Central South UniversitySchool of Business, Central South UniversitySchool of Mathematics, China University of Mining and TechnologyAbstract By means of a Laplace transform and its inverse transform, we obtain a correct equivalent integral equation for some kind of nonlocal abstract differential equations (fractional order) on the right half-axis. Based on it, the existence result is established by Knaster’s theorem, and the uniqueness of the mild solution is obtained using the Banach contraction principle.http://link.springer.com/article/10.1186/s13661-018-1095-7Fractional evolution equationsMild solutionsNonlocal conditions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhanmei Lv Yanping Gong Yi Chen |
| spellingShingle |
Zhanmei Lv Yanping Gong Yi Chen Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval Boundary Value Problems Fractional evolution equations Mild solutions Nonlocal conditions |
| author_facet |
Zhanmei Lv Yanping Gong Yi Chen |
| author_sort |
Zhanmei Lv |
| title |
Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval |
| title_short |
Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval |
| title_full |
Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval |
| title_fullStr |
Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval |
| title_full_unstemmed |
Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval |
| title_sort |
existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2770 |
| publishDate |
2018-11-01 |
| description |
Abstract By means of a Laplace transform and its inverse transform, we obtain a correct equivalent integral equation for some kind of nonlocal abstract differential equations (fractional order) on the right half-axis. Based on it, the existence result is established by Knaster’s theorem, and the uniqueness of the mild solution is obtained using the Banach contraction principle. |
| topic |
Fractional evolution equations Mild solutions Nonlocal conditions |
| url |
http://link.springer.com/article/10.1186/s13661-018-1095-7 |
| work_keys_str_mv |
AT zhanmeilv existenceanduniquenessforakindofnonlocalfractionalevolutionequationsontheunboundedinterval AT yanpinggong existenceanduniquenessforakindofnonlocalfractionalevolutionequationsontheunboundedinterval AT yichen existenceanduniquenessforakindofnonlocalfractionalevolutionequationsontheunboundedinterval |
| _version_ |
1724717866257743872 |