Existence of positive mild solutions for a class of fractional evolution equations on the half line
Abstract The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature. By the monotone iterative method without the assumption of lower and upper solutions,...
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SpringerOpen
2017-09-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1331-y |
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doaj-cc0143178fa74da982180a87eb9f03202020-11-24T21:48:17ZengSpringerOpenAdvances in Difference Equations1687-18472017-09-012017111410.1186/s13662-017-1331-yExistence of positive mild solutions for a class of fractional evolution equations on the half lineYi Chen0Zhanmei Lv1Liang Zhang2School of Mathematics, China University of Mining and TechnologySchool of Business, Central South UniversitySchool of Mathematical Sciences, University of JinanAbstract The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature. By the monotone iterative method without the assumption of lower and upper solutions, we present some new results on the existence of positive mild solutions for the abstract fractional evolution equations on the half-line.http://link.springer.com/article/10.1186/s13662-017-1331-yfractional 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 of positive mild solutions for a class of fractional evolution equations on the half line Advances in Difference Equations fractional order abstract evolution equations mild solutions monotone iterative method |
| author_facet |
Yi Chen Zhanmei Lv Liang Zhang |
| author_sort |
Yi Chen |
| title |
Existence of positive mild solutions for a class of fractional evolution equations on the half line |
| title_short |
Existence of positive mild solutions for a class of fractional evolution equations on the half line |
| title_full |
Existence of positive mild solutions for a class of fractional evolution equations on the half line |
| title_fullStr |
Existence of positive mild solutions for a class of fractional evolution equations on the half line |
| title_full_unstemmed |
Existence of positive mild solutions for a class of fractional evolution equations on the half line |
| title_sort |
existence of positive mild solutions for a class of fractional evolution equations on the half line |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2017-09-01 |
| description |
Abstract The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature. By the monotone iterative method without the assumption of lower and upper solutions, we present some new results on the existence of positive mild solutions for the abstract fractional evolution equations on the half-line. |
| topic |
fractional order abstract evolution equations mild solutions monotone iterative method |
| url |
http://link.springer.com/article/10.1186/s13662-017-1331-y |
| work_keys_str_mv |
AT yichen existenceofpositivemildsolutionsforaclassoffractionalevolutionequationsonthehalfline AT zhanmeilv existenceofpositivemildsolutionsforaclassoffractionalevolutionequationsonthehalfline AT liangzhang existenceofpositivemildsolutionsforaclassoffractionalevolutionequationsonthehalfline |
| _version_ |
1725893024332906496 |