Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities
In this paper, we study a class of conformable frictionless contact problems with the surface traction driven by the conformable impulsive differential equation. The existence of a mild solution for conformable impulsive hemivariational inequality is obtained by the Rothe method, subjectivity of mul...
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| Format: | Article |
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MDPI AG
2022-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/6/271 |
| _version_ | 1797490013318938624 |
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| author | Jianwei Hao Jinrong Wang Jiangfeng Han |
| author_facet | Jianwei Hao Jinrong Wang Jiangfeng Han |
| author_sort | Jianwei Hao |
| collection | DOAJ |
| description | In this paper, we study a class of conformable frictionless contact problems with the surface traction driven by the conformable impulsive differential equation. The existence of a mild solution for conformable impulsive hemivariational inequality is obtained by the Rothe method, subjectivity of multivalued pseudomonotone operators and the property of the conformable derivative. Notice that we imply some new fractional viscoelastic constitutive laws. |
| first_indexed | 2024-03-10T00:24:55Z |
| format | Article |
| id | doaj.art-9a90d77a435342af88bf804c54ecc217 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T00:24:55Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-9a90d77a435342af88bf804c54ecc2172023-11-23T15:35:15ZengMDPI AGAxioms2075-16802022-06-0111627110.3390/axioms11060271Solvability of Conformable Type Frictionless Contact Problem via Hemivariational InequalitiesJianwei Hao0Jinrong Wang1Jiangfeng Han2Department of Mathematics, Guizhou University, Guiyang 550025, ChinaDepartment of Mathematics, Guizhou University, Guiyang 550025, ChinaDepartment of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaIn this paper, we study a class of conformable frictionless contact problems with the surface traction driven by the conformable impulsive differential equation. The existence of a mild solution for conformable impulsive hemivariational inequality is obtained by the Rothe method, subjectivity of multivalued pseudomonotone operators and the property of the conformable derivative. Notice that we imply some new fractional viscoelastic constitutive laws.https://www.mdpi.com/2075-1680/11/6/271conformable impulsive differential equationconformable hemivariational inequalityconformable frictionless contact problemRothe method |
| spellingShingle | Jianwei Hao Jinrong Wang Jiangfeng Han Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities Axioms conformable impulsive differential equation conformable hemivariational inequality conformable frictionless contact problem Rothe method |
| title | Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities |
| title_full | Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities |
| title_fullStr | Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities |
| title_full_unstemmed | Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities |
| title_short | Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities |
| title_sort | solvability of conformable type frictionless contact problem via hemivariational inequalities |
| topic | conformable impulsive differential equation conformable hemivariational inequality conformable frictionless contact problem Rothe method |
| url | https://www.mdpi.com/2075-1680/11/6/271 |
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