On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay
Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s fixed point theorem. An example is given to ill...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/916543 |
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| _version_ | 1832551369473523712 |
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| author | Fang Li Ti-Jun Xiao Hong-Kun Xu |
| author_facet | Fang Li Ti-Jun Xiao Hong-Kun Xu |
| author_sort | Fang Li |
| collection | DOAJ |
| description | Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s fixed point theorem. An example is given to illustrate the existence result. |
| format | Article |
| id | doaj-art-05d208e11c9844fa94004fb26a0e7e1c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-05d208e11c9844fa94004fb26a0e7e1c2025-02-03T06:01:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/916543916543On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite DelayFang Li0Ti-Jun Xiao1Hong-Kun Xu2School of Mathematics, Yunnan Normal University, Kunming 650092, ChinaShanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, ChinaDepartment of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, TaiwanOf concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s fixed point theorem. An example is given to illustrate the existence result.http://dx.doi.org/10.1155/2012/916543 |
| spellingShingle | Fang Li Ti-Jun Xiao Hong-Kun Xu On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay Journal of Applied Mathematics |
| title | On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay |
| title_full | On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay |
| title_fullStr | On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay |
| title_full_unstemmed | On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay |
| title_short | On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay |
| title_sort | on nonlinear neutral fractional integrodifferential inclusions with infinite delay |
| url | http://dx.doi.org/10.1155/2012/916543 |
| work_keys_str_mv | AT fangli onnonlinearneutralfractionalintegrodifferentialinclusionswithinfinitedelay AT tijunxiao onnonlinearneutralfractionalintegrodifferentialinclusionswithinfinitedelay AT hongkunxu onnonlinearneutralfractionalintegrodifferentialinclusionswithinfinitedelay |