Existence of solutions for boundary value problem of fractional order impulsive differential equations systems
By defining appropriate linear space and norm, giving the appropriate operator, using the contraction mapping principle and krasnoselskii fixed point theorem respectively, the existence and uniqueness of solutions for boundary value problem of fractional order impulsive differential equations system...
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
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Hebei University of Science and Technology
2015-04-01
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| Series: | Journal of Hebei University of Science and Technology |
| Subjects: | |
| Online Access: | http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201502004&flag=1&journal_ |
| _version_ | 1818579145960980480 |
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| author | Weihua JIANG Haiming LI |
| author_facet | Weihua JIANG Haiming LI |
| author_sort | Weihua JIANG |
| collection | DOAJ |
| description | By defining appropriate linear space and norm, giving the appropriate operator, using the contraction mapping principle and krasnoselskii fixed point theorem respectively, the existence and uniqueness of solutions for boundary value problem of fractional order impulsive differential equations systems are investigated under certain condition that nonlinear term and pulse value are satisfied. An example is given to illustrate that the required conditions can be satisfied. |
| first_indexed | 2024-12-16T06:57:03Z |
| format | Article |
| id | doaj.art-315deaaaa2384526b5982a01e7675347 |
| institution | Directory Open Access Journal |
| issn | 1008-1542 |
| language | zho |
| last_indexed | 2024-12-16T06:57:03Z |
| publishDate | 2015-04-01 |
| publisher | Hebei University of Science and Technology |
| record_format | Article |
| series | Journal of Hebei University of Science and Technology |
| spelling | doaj.art-315deaaaa2384526b5982a01e76753472022-12-21T22:40:16ZzhoHebei University of Science and TechnologyJournal of Hebei University of Science and Technology1008-15422015-04-0136213414310.7535/hbkd.2015yx02004b201502004Existence of solutions for boundary value problem of fractional order impulsive differential equations systemsWeihua JIANG0Haiming LI1School of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaSchool of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaBy defining appropriate linear space and norm, giving the appropriate operator, using the contraction mapping principle and krasnoselskii fixed point theorem respectively, the existence and uniqueness of solutions for boundary value problem of fractional order impulsive differential equations systems are investigated under certain condition that nonlinear term and pulse value are satisfied. An example is given to illustrate that the required conditions can be satisfied.http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201502004&flag=1&journal_numerical solution of ordinary differential equationscontraction mapping principledifferential equationsimpulsivefractional calculusboundary value problem |
| spellingShingle | Weihua JIANG Haiming LI Existence of solutions for boundary value problem of fractional order impulsive differential equations systems Journal of Hebei University of Science and Technology numerical solution of ordinary differential equations contraction mapping principle differential equations impulsive fractional calculus boundary value problem |
| title | Existence of solutions for boundary value problem of fractional order impulsive differential equations systems |
| title_full | Existence of solutions for boundary value problem of fractional order impulsive differential equations systems |
| title_fullStr | Existence of solutions for boundary value problem of fractional order impulsive differential equations systems |
| title_full_unstemmed | Existence of solutions for boundary value problem of fractional order impulsive differential equations systems |
| title_short | Existence of solutions for boundary value problem of fractional order impulsive differential equations systems |
| title_sort | existence of solutions for boundary value problem of fractional order impulsive differential equations systems |
| topic | numerical solution of ordinary differential equations contraction mapping principle differential equations impulsive fractional calculus boundary value problem |
| url | http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201502004&flag=1&journal_ |
| work_keys_str_mv | AT weihuajiang existenceofsolutionsforboundaryvalueproblemoffractionalorderimpulsivedifferentialequationssystems AT haimingli existenceofsolutionsforboundaryvalueproblemoffractionalorderimpulsivedifferentialequationssystems |