Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer
In order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied. Firstly, the integral equation equivalent to the differential equation was obtained; Secondly, approp...
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Hebei University of Science and Technology
2023-04-01
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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=b202302004&flag=1&journal_ |
| _version_ | 1797792678248710144 |
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| author | Chunjing GUO Fanmeng MENG Kun CHEN Weihua JIANG |
| author_facet | Chunjing GUO Fanmeng MENG Kun CHEN Weihua JIANG |
| author_sort | Chunjing GUO |
| collection | DOAJ |
| description | In order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied. Firstly, the integral equation equivalent to the differential equation was obtained; Secondly, appropriate Banach spaces and norms were defined, and appropriate operators were constructed. When the nonlinear term satisfies different conditions, sufficient conditions for the existence of solutions of such boundary value problems were obtained by using Krasnoselskii fixed point theorem; Finally, two examples were used to illustrate the universality of the research results. It is shown that the solution of the boundary value problem of impulsive differential equations with Hilfer fractional derivative exists. By using the Krasnoselskii fixed-point theorem, the existence of solutions for impulsive differential equation boundary value problems with Hilfer fractional order can be effectively solved, which provides some reference for solving other types of impulsive fractional differential equation boundary value problems. |
| first_indexed | 2024-03-13T02:36:25Z |
| format | Article |
| id | doaj.art-854507052dee435ba4600616572144a4 |
| institution | Directory Open Access Journal |
| issn | 1008-1542 |
| language | zho |
| last_indexed | 2024-03-13T02:36:25Z |
| publishDate | 2023-04-01 |
| publisher | Hebei University of Science and Technology |
| record_format | Article |
| series | Journal of Hebei University of Science and Technology |
| spelling | doaj.art-854507052dee435ba4600616572144a42023-06-29T01:18:29ZzhoHebei University of Science and TechnologyJournal of Hebei University of Science and Technology1008-15422023-04-0144213214310.7535/hbkd.2023yx02004b202302004Existence of solutions for boundary value problems of fractional impulsive differential equations with HilferChunjing GUO0Fanmeng MENG1Kun CHEN2Weihua JIANG3School of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018,ChinaSchool of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018,ChinaOffice of Academic Affairs,Shijiazhuang People’s Medical College,Shijiazhuang,Hebei 050091,ChinaSchool of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018,ChinaIn order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied. Firstly, the integral equation equivalent to the differential equation was obtained; Secondly, appropriate Banach spaces and norms were defined, and appropriate operators were constructed. When the nonlinear term satisfies different conditions, sufficient conditions for the existence of solutions of such boundary value problems were obtained by using Krasnoselskii fixed point theorem; Finally, two examples were used to illustrate the universality of the research results. It is shown that the solution of the boundary value problem of impulsive differential equations with Hilfer fractional derivative exists. By using the Krasnoselskii fixed-point theorem, the existence of solutions for impulsive differential equation boundary value problems with Hilfer fractional order can be effectively solved, which provides some reference for solving other types of impulsive fractional differential equation boundary value problems.http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b202302004&flag=1&journal_analytic theory; impulse; boundary value problem; krasnoselskii fixed point theorem; existence of solutions |
| spellingShingle | Chunjing GUO Fanmeng MENG Kun CHEN Weihua JIANG Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer Journal of Hebei University of Science and Technology analytic theory; impulse; boundary value problem; krasnoselskii fixed point theorem; existence of solutions |
| title | Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer |
| title_full | Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer |
| title_fullStr | Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer |
| title_full_unstemmed | Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer |
| title_short | Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer |
| title_sort | existence of solutions for boundary value problems of fractional impulsive differential equations with hilfer |
| topic | analytic theory; impulse; boundary value problem; krasnoselskii fixed point theorem; existence of solutions |
| url | http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b202302004&flag=1&journal_ |
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