Existence and Attractivity for Fractional Evolution Equations
We study the existence and attractivity of solutions for fractional evolution equations with Riemann-Liouville fractional derivative. We establish sufficient conditions for the global attractivity of mild solutions for the Cauchy problems in the case that semigroup is compact.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/1070713 |
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| _version_ | 1832556627554729984 |
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| author | Yong Zhou Jia Wei He Bashir Ahmad Ahmed Alsaedi |
| author_facet | Yong Zhou Jia Wei He Bashir Ahmad Ahmed Alsaedi |
| author_sort | Yong Zhou |
| collection | DOAJ |
| description | We study the existence and attractivity of solutions for fractional evolution equations with Riemann-Liouville fractional derivative. We establish sufficient conditions for the global attractivity of mild solutions for the Cauchy problems in the case that semigroup is compact. |
| format | Article |
| id | doaj-art-a85b0ff9cb4742a19a8e65f415646615 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a85b0ff9cb4742a19a8e65f4156466152025-02-03T05:44:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/10707131070713Existence and Attractivity for Fractional Evolution EquationsYong Zhou0Jia Wei He1Bashir Ahmad2Ahmed Alsaedi3Faculty of Mathematics and Computational Science, Xiangtan University, Hunan 411105, ChinaFaculty of Mathematics and Computational Science, Xiangtan University, Hunan 411105, ChinaNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaWe study the existence and attractivity of solutions for fractional evolution equations with Riemann-Liouville fractional derivative. We establish sufficient conditions for the global attractivity of mild solutions for the Cauchy problems in the case that semigroup is compact.http://dx.doi.org/10.1155/2018/1070713 |
| spellingShingle | Yong Zhou Jia Wei He Bashir Ahmad Ahmed Alsaedi Existence and Attractivity for Fractional Evolution Equations Discrete Dynamics in Nature and Society |
| title | Existence and Attractivity for Fractional Evolution Equations |
| title_full | Existence and Attractivity for Fractional Evolution Equations |
| title_fullStr | Existence and Attractivity for Fractional Evolution Equations |
| title_full_unstemmed | Existence and Attractivity for Fractional Evolution Equations |
| title_short | Existence and Attractivity for Fractional Evolution Equations |
| title_sort | existence and attractivity for fractional evolution equations |
| url | http://dx.doi.org/10.1155/2018/1070713 |
| work_keys_str_mv | AT yongzhou existenceandattractivityforfractionalevolutionequations AT jiaweihe existenceandattractivityforfractionalevolutionequations AT bashirahmad existenceandattractivityforfractionalevolutionequations AT ahmedalsaedi existenceandattractivityforfractionalevolutionequations |