Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator
Abstract In this paper, we mainly study a kind of fractional-order multiple point boundary value problem involving noninstantaneous impulse and abstract bounded operator. The existence and uniqueness is obtained by the Banach contraction principle. And by applying direct analysis methods, we establi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-020-03207-6 |
| _version_ | 1819056427120984064 |
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| author | Kaihong Zhao Shoukai Deng |
| author_facet | Kaihong Zhao Shoukai Deng |
| author_sort | Kaihong Zhao |
| collection | DOAJ |
| description | Abstract In this paper, we mainly study a kind of fractional-order multiple point boundary value problem involving noninstantaneous impulse and abstract bounded operator. The existence and uniqueness is obtained by the Banach contraction principle. And by applying direct analysis methods, we establish some conditions of the Ulam–Hyers stability for this problem. Finally, an interesting application example is given to illustrate the validity of the results. |
| first_indexed | 2024-12-21T13:23:14Z |
| format | Article |
| id | doaj.art-0a4b3453accb40abb7d0eafb5b24e7a8 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-21T13:23:14Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-0a4b3453accb40abb7d0eafb5b24e7a82022-12-21T19:02:32ZengSpringerOpenAdvances in Difference Equations1687-18472021-01-012021112010.1186/s13662-020-03207-6Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operatorKaihong Zhao0Shoukai Deng1Department of Applied Mathematics, Kunming University of Science and TechnologyDepartment of Applied Mathematics, Kunming University of Science and TechnologyAbstract In this paper, we mainly study a kind of fractional-order multiple point boundary value problem involving noninstantaneous impulse and abstract bounded operator. The existence and uniqueness is obtained by the Banach contraction principle. And by applying direct analysis methods, we establish some conditions of the Ulam–Hyers stability for this problem. Finally, an interesting application example is given to illustrate the validity of the results.https://doi.org/10.1186/s13662-020-03207-6Fractional-order multiple point BVPExistence and Ulam–Hyers stabilityNoninstantaneous impulsesAbstract bounded operator |
| spellingShingle | Kaihong Zhao Shoukai Deng Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator Advances in Difference Equations Fractional-order multiple point BVP Existence and Ulam–Hyers stability Noninstantaneous impulses Abstract bounded operator |
| title | Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator |
| title_full | Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator |
| title_fullStr | Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator |
| title_full_unstemmed | Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator |
| title_short | Existence and Ulam–Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator |
| title_sort | existence and ulam hyers stability of a kind of fractional order multiple point bvp involving noninstantaneous impulses and abstract bounded operator |
| topic | Fractional-order multiple point BVP Existence and Ulam–Hyers stability Noninstantaneous impulses Abstract bounded operator |
| url | https://doi.org/10.1186/s13662-020-03207-6 |
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