Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations
The existence of asymptotically almost automorphic mild solutions to an abstract stochastic fractional partial integrodifferential equation is considered. The main tools are some suitable composition results for asymptotically almost automorphic processes, the theory of sectorial linear operators, a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/138068 |
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| _version_ | 1849395668952547328 |
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| author | Zhi-Han Zhao Yong-Kui Chang Juan J. Nieto |
| author_facet | Zhi-Han Zhao Yong-Kui Chang Juan J. Nieto |
| author_sort | Zhi-Han Zhao |
| collection | DOAJ |
| description | The existence of asymptotically almost automorphic mild solutions to an abstract stochastic fractional partial integrodifferential equation is considered. The main tools are some suitable composition results for asymptotically almost automorphic processes, the theory of sectorial linear operators, and classical fixed point theorems. An example is also given to illustrate the main theorems. |
| format | Article |
| id | doaj-art-a8e44b0d6d2f4c30a8691935192bf8d5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a8e44b0d6d2f4c30a8691935192bf8d52025-08-20T03:39:32ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/138068138068Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential EquationsZhi-Han Zhao0Yong-Kui Chang1Juan J. Nieto2Department of Mathematics and Information Engineering, Sanming University, Sanming, Fujian 365004, ChinaDepartment of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaDepartamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, SpainThe existence of asymptotically almost automorphic mild solutions to an abstract stochastic fractional partial integrodifferential equation is considered. The main tools are some suitable composition results for asymptotically almost automorphic processes, the theory of sectorial linear operators, and classical fixed point theorems. An example is also given to illustrate the main theorems.http://dx.doi.org/10.1155/2013/138068 |
| spellingShingle | Zhi-Han Zhao Yong-Kui Chang Juan J. Nieto Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations Abstract and Applied Analysis |
| title | Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations |
| title_full | Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations |
| title_fullStr | Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations |
| title_full_unstemmed | Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations |
| title_short | Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations |
| title_sort | asymptotic behavior of solutions to abstract stochastic fractional partial integrodifferential equations |
| url | http://dx.doi.org/10.1155/2013/138068 |
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