Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems
We present the notion of convoluted fractional C-semigroup, which is the generalization of convoluted C-semigroup in the Banach space setting. We present two equivalent functional equations associated with convoluted fractional C-semigroup. Moreover, the well-posedness of the corresponding fractiona...
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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/10.1155/2014/357821 |
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| author | Zhan-Dong Mei Ji-Gen Peng Jing-Huai Gao |
| author_facet | Zhan-Dong Mei Ji-Gen Peng Jing-Huai Gao |
| author_sort | Zhan-Dong Mei |
| collection | DOAJ |
| description | We present the notion of convoluted fractional C-semigroup, which is the generalization of convoluted C-semigroup in the Banach space setting. We present two equivalent functional equations associated with convoluted fractional C-semigroup. Moreover, the well-posedness of the corresponding fractional abstract Cauchy problems is studied. |
| format | Article |
| id | doaj-art-9cdde1275c714c25bf478266aea6c655 |
| 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-9cdde1275c714c25bf478266aea6c6552025-02-03T01:22:04ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/357821357821Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy ProblemsZhan-Dong Mei0Ji-Gen Peng1Jing-Huai Gao2School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaInstitute of Wave and Information, School of Electronics and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaWe present the notion of convoluted fractional C-semigroup, which is the generalization of convoluted C-semigroup in the Banach space setting. We present two equivalent functional equations associated with convoluted fractional C-semigroup. Moreover, the well-posedness of the corresponding fractional abstract Cauchy problems is studied.http://dx.doi.org/10.1155/2014/357821 |
| spellingShingle | Zhan-Dong Mei Ji-Gen Peng Jing-Huai Gao Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems Abstract and Applied Analysis |
| title | Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems |
| title_full | Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems |
| title_fullStr | Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems |
| title_full_unstemmed | Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems |
| title_short | Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems |
| title_sort | convoluted fractional c semigroups and fractional abstract cauchy problems |
| url | http://dx.doi.org/10.1155/2014/357821 |
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