A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems
This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional px-operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system,...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5558074 |
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| _version_ | 1849467875762372608 |
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| author | Yong Wu Zhenhua Qiao Mohamed Karim Hamdani Bingyu Kou Libo Yang |
| author_facet | Yong Wu Zhenhua Qiao Mohamed Karim Hamdani Bingyu Kou Libo Yang |
| author_sort | Yong Wu |
| collection | DOAJ |
| description | This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional px-operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system, in the case of variable-order fractional variable exponents. Our main theorem extends in several directions previous results. |
| format | Article |
| id | doaj-art-e661d3d1673a4f56ade868ca45b3679f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e661d3d1673a4f56ade868ca45b3679f2025-08-20T03:26:00ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55580745558074A Class of Variable-Order Fractional p·-Kirchhoff-Type SystemsYong Wu0Zhenhua Qiao1Mohamed Karim Hamdani2Bingyu Kou3Libo Yang4School of Tourism Date, Guilin Tourism University, Guilin 541006, ChinaSchool of Electronic and Information Engineering, Jiangxi Industry Polytechnic College, Nanchang 330095, ChinaScience and Technology for Defense Laboratory LR19DN01, Military Research Center, Aouina, TunisiaDepartment of Basic Courses, The Army Engineering University of PLA, Nanjing 211101, ChinaFaculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai’an 223003, ChinaThis paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional px-operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system, in the case of variable-order fractional variable exponents. Our main theorem extends in several directions previous results.http://dx.doi.org/10.1155/2021/5558074 |
| spellingShingle | Yong Wu Zhenhua Qiao Mohamed Karim Hamdani Bingyu Kou Libo Yang A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems Journal of Function Spaces |
| title | A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems |
| title_full | A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems |
| title_fullStr | A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems |
| title_full_unstemmed | A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems |
| title_short | A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems |
| title_sort | class of variable order fractional p· kirchhoff type systems |
| url | http://dx.doi.org/10.1155/2021/5558074 |
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