Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations
This paper deals with the existence and uniqueness of periodic solutions, S-asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl-Liouville fractional derivative defined for periodic functions. Applying Fourier transform we give...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/1364532 |
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| _version_ | 1849304333857849344 |
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| author | Jia Mu Yong Zhou Li Peng |
| author_facet | Jia Mu Yong Zhou Li Peng |
| author_sort | Jia Mu |
| collection | DOAJ |
| description | This paper deals with the existence and uniqueness of periodic solutions, S-asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl-Liouville fractional derivative defined for periodic functions. Applying Fourier transform we give reasonable definitions of mild solutions. Then we accurately estimate the spectral radius of resolvent operator and obtain some existence and uniqueness results. |
| format | Article |
| id | doaj-art-10ca8de38c46483cb50d3a3351bdbe4c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-10ca8de38c46483cb50d3a3351bdbe4c2025-08-20T03:55:45ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/13645321364532Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution EquationsJia Mu0Yong Zhou1Li Peng2Faculty of Mathematics and Computational Science, Xiangtan University, Hunan 411105, ChinaFaculty of Mathematics and Computational Science, Xiangtan University, Hunan 411105, ChinaFaculty of Mathematics and Computational Science, Xiangtan University, Hunan 411105, ChinaThis paper deals with the existence and uniqueness of periodic solutions, S-asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl-Liouville fractional derivative defined for periodic functions. Applying Fourier transform we give reasonable definitions of mild solutions. Then we accurately estimate the spectral radius of resolvent operator and obtain some existence and uniqueness results.http://dx.doi.org/10.1155/2017/1364532 |
| spellingShingle | Jia Mu Yong Zhou Li Peng Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations Discrete Dynamics in Nature and Society |
| title | Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations |
| title_full | Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations |
| title_fullStr | Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations |
| title_full_unstemmed | Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations |
| title_short | Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations |
| title_sort | periodic solutions and s asymptotically periodic solutions to fractional evolution equations |
| url | http://dx.doi.org/10.1155/2017/1364532 |
| work_keys_str_mv | AT jiamu periodicsolutionsandsasymptoticallyperiodicsolutionstofractionalevolutionequations AT yongzhou periodicsolutionsandsasymptoticallyperiodicsolutionstofractionalevolutionequations AT lipeng periodicsolutionsandsasymptoticallyperiodicsolutionstofractionalevolutionequations |