A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operator
The purpose of this article is to research the existence of solutions for fractional periodic boundary value problems with p(t)-Laplacian operator. In this regard, the article needs to establish a continuation theorem corresponding to the above problem. By applying the continuation theorem, a new ex...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-01-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023205?viewType=HTML |
| _version_ | 1797938212463706112 |
|---|---|
| author | Tingting Xue Xiaolin Fan Hong Cao Lina Fu |
| author_facet | Tingting Xue Xiaolin Fan Hong Cao Lina Fu |
| author_sort | Tingting Xue |
| collection | DOAJ |
| description | The purpose of this article is to research the existence of solutions for fractional periodic boundary value problems with p(t)-Laplacian operator. In this regard, the article needs to establish a continuation theorem corresponding to the above problem. By applying the continuation theorem, a new existence result for the problem is obtained, which enriches existing literature. In addition, we provide an example to verify the main result. |
| first_indexed | 2024-04-10T18:56:15Z |
| format | Article |
| id | doaj.art-d7b6f72ed06040ab9c53f4314ba5dfa3 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-10T18:56:15Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-d7b6f72ed06040ab9c53f4314ba5dfa32023-02-01T01:14:38ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-012034421443610.3934/mbe.2023205A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operatorTingting Xue 0Xiaolin Fan1Hong Cao2Lina Fu 31. School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, Xinjiang, China1. School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, Xinjiang, China2. College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang, China1. School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, Xinjiang, ChinaThe purpose of this article is to research the existence of solutions for fractional periodic boundary value problems with p(t)-Laplacian operator. In this regard, the article needs to establish a continuation theorem corresponding to the above problem. By applying the continuation theorem, a new existence result for the problem is obtained, which enriches existing literature. In addition, we provide an example to verify the main result.https://www.aimspress.com/article/doi/10.3934/mbe.2023205?viewType=HTMLfractional differential equationboundary value problemp(t)-laplacian operatorcontinuation theorem |
| spellingShingle | Tingting Xue Xiaolin Fan Hong Cao Lina Fu A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operator Mathematical Biosciences and Engineering fractional differential equation boundary value problem p(t)-laplacian operator continuation theorem |
| title | A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operator |
| title_full | A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operator |
| title_fullStr | A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operator |
| title_full_unstemmed | A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operator |
| title_short | A periodic boundary value problem of fractional differential equation involving p(t)-Laplacian operator |
| title_sort | periodic boundary value problem of fractional differential equation involving p t laplacian operator |
| topic | fractional differential equation boundary value problem p(t)-laplacian operator continuation theorem |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023205?viewType=HTML |
| work_keys_str_mv | AT tingtingxue aperiodicboundaryvalueproblemoffractionaldifferentialequationinvolvingptlaplacianoperator AT xiaolinfan aperiodicboundaryvalueproblemoffractionaldifferentialequationinvolvingptlaplacianoperator AT hongcao aperiodicboundaryvalueproblemoffractionaldifferentialequationinvolvingptlaplacianoperator AT linafu aperiodicboundaryvalueproblemoffractionaldifferentialequationinvolvingptlaplacianoperator AT tingtingxue periodicboundaryvalueproblemoffractionaldifferentialequationinvolvingptlaplacianoperator AT xiaolinfan periodicboundaryvalueproblemoffractionaldifferentialequationinvolvingptlaplacianoperator AT hongcao periodicboundaryvalueproblemoffractionaldifferentialequationinvolvingptlaplacianoperator AT linafu periodicboundaryvalueproblemoffractionaldifferentialequationinvolvingptlaplacianoperator |