An existence result for fractional differential equations of neutral type with infinite delay
In this paper, the existence of mild solutions for the fractional differential equations of neutral type with infinite delay is obtained under the conditions in respect of the Kuratowski's measure of noncompactness. As an application, the existence of mild solution for some integrodifferential...
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| Format: | Article |
| Language: | English |
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University of Szeged
2011-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=711 |
| _version_ | 1797830685074915328 |
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| author | Fang Li |
| author_facet | Fang Li |
| author_sort | Fang Li |
| collection | DOAJ |
| description | In this paper, the existence of mild solutions for the fractional differential equations of neutral type with infinite delay is obtained under the conditions in respect of the Kuratowski's measure of noncompactness. As an application, the existence of mild solution for some integrodifferential equation is obtained. |
| first_indexed | 2024-04-09T13:41:07Z |
| format | Article |
| id | doaj.art-f95512dde1004dd8ade9668a7c9d7578 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:07Z |
| publishDate | 2011-07-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f95512dde1004dd8ade9668a7c9d75782023-05-09T07:53:01ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752011-07-0120115211510.14232/ejqtde.2011.1.52711An existence result for fractional differential equations of neutral type with infinite delayFang Li0Yunnan Normal University, Kunming, P. R. ChinaIn this paper, the existence of mild solutions for the fractional differential equations of neutral type with infinite delay is obtained under the conditions in respect of the Kuratowski's measure of noncompactness. As an application, the existence of mild solution for some integrodifferential equation is obtained.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=711fractional differential equationneutral differential equationmild solutioninfinite delaymeasure of noncompactness |
| spellingShingle | Fang Li An existence result for fractional differential equations of neutral type with infinite delay Electronic Journal of Qualitative Theory of Differential Equations fractional differential equation neutral differential equation mild solution infinite delay measure of noncompactness |
| title | An existence result for fractional differential equations of neutral type with infinite delay |
| title_full | An existence result for fractional differential equations of neutral type with infinite delay |
| title_fullStr | An existence result for fractional differential equations of neutral type with infinite delay |
| title_full_unstemmed | An existence result for fractional differential equations of neutral type with infinite delay |
| title_short | An existence result for fractional differential equations of neutral type with infinite delay |
| title_sort | existence result for fractional differential equations of neutral type with infinite delay |
| topic | fractional differential equation neutral differential equation mild solution infinite delay measure of noncompactness |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=711 |
| work_keys_str_mv | AT fangli anexistenceresultforfractionaldifferentialequationsofneutraltypewithinfinitedelay AT fangli existenceresultforfractionaldifferentialequationsofneutraltypewithinfinitedelay |