Some Results on Fractional m-Point Boundary Value Problems
In this paper, we will apply some fixed-point theorems to discuss the existence of solutions for fractional m-point boundary value problems D0+qu″t=htfut,t∈0,1,1<q≤2,u′0=u″0=u1=0,u″1−∑i=1m−2αiu‴ξi=0. In addition, we also present Lyapunov’s inequality and Ulam-Hyers stability results for the given...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/3152688 |
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| _version_ | 1850221716789264384 |
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| author | Huijuan Zhu Baozhi Han Jun Shen |
| author_facet | Huijuan Zhu Baozhi Han Jun Shen |
| author_sort | Huijuan Zhu |
| collection | DOAJ |
| description | In this paper, we will apply some fixed-point theorems to discuss the existence of solutions for fractional m-point boundary value problems D0+qu″t=htfut,t∈0,1,1<q≤2,u′0=u″0=u1=0,u″1−∑i=1m−2αiu‴ξi=0. In addition, we also present Lyapunov’s inequality and Ulam-Hyers stability results for the given m-point boundary value problems. |
| format | Article |
| id | doaj-art-650bfdb273544c7ba1cf3f5fd833044b |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-650bfdb273544c7ba1cf3f5fd833044b2025-08-20T02:06:37ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/31526883152688Some Results on Fractional m-Point Boundary Value ProblemsHuijuan Zhu0Baozhi Han1Jun Shen2Department of Mathematics, College of Science, Hohai University, Nanjing 210098, ChinaDepartment of Mathematics, College of Science, Hohai University, Nanjing 210098, ChinaCollege of Science, China Pharmaceutical University, Nanjing 211198, ChinaIn this paper, we will apply some fixed-point theorems to discuss the existence of solutions for fractional m-point boundary value problems D0+qu″t=htfut,t∈0,1,1<q≤2,u′0=u″0=u1=0,u″1−∑i=1m−2αiu‴ξi=0. In addition, we also present Lyapunov’s inequality and Ulam-Hyers stability results for the given m-point boundary value problems.http://dx.doi.org/10.1155/2021/3152688 |
| spellingShingle | Huijuan Zhu Baozhi Han Jun Shen Some Results on Fractional m-Point Boundary Value Problems Journal of Function Spaces |
| title | Some Results on Fractional m-Point Boundary Value Problems |
| title_full | Some Results on Fractional m-Point Boundary Value Problems |
| title_fullStr | Some Results on Fractional m-Point Boundary Value Problems |
| title_full_unstemmed | Some Results on Fractional m-Point Boundary Value Problems |
| title_short | Some Results on Fractional m-Point Boundary Value Problems |
| title_sort | some results on fractional m point boundary value problems |
| url | http://dx.doi.org/10.1155/2021/3152688 |
| work_keys_str_mv | AT huijuanzhu someresultsonfractionalmpointboundaryvalueproblems AT baozhihan someresultsonfractionalmpointboundaryvalueproblems AT junshen someresultsonfractionalmpointboundaryvalueproblems |