Existence of solutions for nonlinear impulsive higher order fractional differential equations
In this paper, we prove the existence of solutions for nonlinear impulsive differential equations of fractional order $q \in (n -1, n]$. The results are based on Altman’s fixed point theorem and Leray-Schauder’s fixed point theorem.
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| Format: | Article |
| Language: | English |
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University of Szeged
2011-10-01
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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=972 |
| _version_ | 1827951378608160768 |
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| author | Xuhuan Wang |
| author_facet | Xuhuan Wang |
| author_sort | Xuhuan Wang |
| collection | DOAJ |
| description | In this paper, we prove the existence of solutions for nonlinear impulsive differential equations of fractional order $q \in (n -1, n]$. The results are based on Altman’s fixed point theorem and Leray-Schauder’s fixed point theorem. |
| first_indexed | 2024-04-09T13:40:49Z |
| format | Article |
| id | doaj.art-b3ece38a827d4e01a92b4dfe16d5ccfd |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:49Z |
| publishDate | 2011-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-b3ece38a827d4e01a92b4dfe16d5ccfd2023-05-09T07:53:01ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752011-10-0120118011210.14232/ejqtde.2011.1.80972Existence of solutions for nonlinear impulsive higher order fractional differential equationsXuhuan Wang0Department of Mathematics, Baoshan College, Baoshan, Yunnan 678000, P. R. ChinaIn this paper, we prove the existence of solutions for nonlinear impulsive differential equations of fractional order $q \in (n -1, n]$. The results are based on Altman’s fixed point theorem and Leray-Schauder’s fixed point theorem.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=972nonlinear fractional differential equationsimpulseinitial value problemexistence of solutionsfixed point theorem |
| spellingShingle | Xuhuan Wang Existence of solutions for nonlinear impulsive higher order fractional differential equations Electronic Journal of Qualitative Theory of Differential Equations nonlinear fractional differential equations impulse initial value problem existence of solutions fixed point theorem |
| title | Existence of solutions for nonlinear impulsive higher order fractional differential equations |
| title_full | Existence of solutions for nonlinear impulsive higher order fractional differential equations |
| title_fullStr | Existence of solutions for nonlinear impulsive higher order fractional differential equations |
| title_full_unstemmed | Existence of solutions for nonlinear impulsive higher order fractional differential equations |
| title_short | Existence of solutions for nonlinear impulsive higher order fractional differential equations |
| title_sort | existence of solutions for nonlinear impulsive higher order fractional differential equations |
| topic | nonlinear fractional differential equations impulse initial value problem existence of solutions fixed point theorem |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=972 |
| work_keys_str_mv | AT xuhuanwang existenceofsolutionsfornonlinearimpulsivehigherorderfractionaldifferentialequations |