Weighted Stepanov-Like Pseudoperiodicity and Applications
By the weighted ergodic space, we propose a new class of functions called weighted Stepanov-like pseudoperiodic function and explore its properties. Furthermore, the existence and uniqueness of the weighted pseudoperiodic solution to fractional integro-differential equations and nonautonomous differ...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/980869 |
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| _version_ | 1832545298130403328 |
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| author | Zhinan Xia |
| author_facet | Zhinan Xia |
| author_sort | Zhinan Xia |
| collection | DOAJ |
| description | By the weighted ergodic space, we propose a new class of functions called weighted Stepanov-like pseudoperiodic function and explore its properties. Furthermore, the existence and uniqueness of the weighted pseudoperiodic solution to fractional integro-differential equations and nonautonomous differential equations are investigated. Some interesting examples are presented to illustrate the main findings. |
| format | Article |
| id | doaj-art-424645a6fe3447b2aa7875f3c3465f62 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-424645a6fe3447b2aa7875f3c3465f622025-02-03T07:26:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/980869980869Weighted Stepanov-Like Pseudoperiodicity and ApplicationsZhinan Xia0Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, ChinaBy the weighted ergodic space, we propose a new class of functions called weighted Stepanov-like pseudoperiodic function and explore its properties. Furthermore, the existence and uniqueness of the weighted pseudoperiodic solution to fractional integro-differential equations and nonautonomous differential equations are investigated. Some interesting examples are presented to illustrate the main findings.http://dx.doi.org/10.1155/2014/980869 |
| spellingShingle | Zhinan Xia Weighted Stepanov-Like Pseudoperiodicity and Applications Abstract and Applied Analysis |
| title | Weighted Stepanov-Like Pseudoperiodicity and Applications |
| title_full | Weighted Stepanov-Like Pseudoperiodicity and Applications |
| title_fullStr | Weighted Stepanov-Like Pseudoperiodicity and Applications |
| title_full_unstemmed | Weighted Stepanov-Like Pseudoperiodicity and Applications |
| title_short | Weighted Stepanov-Like Pseudoperiodicity and Applications |
| title_sort | weighted stepanov like pseudoperiodicity and applications |
| url | http://dx.doi.org/10.1155/2014/980869 |
| work_keys_str_mv | AT zhinanxia weightedstepanovlikepseudoperiodicityandapplications |