A new class of dual systems of fractional differential equations with hemivariational inequalities
Abstract The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential equation of order 1 < q < 2 $1<...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-025-03320-8 |
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| author | Mohd Adnan Esmail Alshaban Fahad M. Alamrani Abdur Raheem Areefa Khatoon Faizan A. Khan |
| author_facet | Mohd Adnan Esmail Alshaban Fahad M. Alamrani Abdur Raheem Areefa Khatoon Faizan A. Khan |
| author_sort | Mohd Adnan |
| collection | DOAJ |
| description | Abstract The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential equation of order 1 < q < 2 $1< q<2$ in a Banach space. The existence of a solution to the mentioned problem is proved by employing Rothe’s method and a surjectivity result. An example is provided to validate the results. |
| format | Article |
| id | doaj-art-adf14fef8a554cd583f8f2be9ad3d0c1 |
| institution | OA Journals |
| issn | 1029-242X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-adf14fef8a554cd583f8f2be9ad3d0c12025-08-20T02:37:14ZengSpringerOpenJournal of Inequalities and Applications1029-242X2025-06-012025112310.1186/s13660-025-03320-8A new class of dual systems of fractional differential equations with hemivariational inequalitiesMohd Adnan0Esmail Alshaban1Fahad M. Alamrani2Abdur Raheem3Areefa Khatoon4Faizan A. Khan5Department of Mathematics, Aligarh Muslim UniversityFaculty of Science, University of TabukFaculty of Science, University of TabukDepartment of Mathematics, Aligarh Muslim UniversityDepartment of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed) UniversityFaculty of Science, University of TabukAbstract The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential equation of order 1 < q < 2 $1< q<2$ in a Banach space. The existence of a solution to the mentioned problem is proved by employing Rothe’s method and a surjectivity result. An example is provided to validate the results.https://doi.org/10.1186/s13660-025-03320-8Dual systemCaputo fractional derivativeHemivariational inequalityRothe’s methodClarke subdifferential |
| spellingShingle | Mohd Adnan Esmail Alshaban Fahad M. Alamrani Abdur Raheem Areefa Khatoon Faizan A. Khan A new class of dual systems of fractional differential equations with hemivariational inequalities Journal of Inequalities and Applications Dual system Caputo fractional derivative Hemivariational inequality Rothe’s method Clarke subdifferential |
| title | A new class of dual systems of fractional differential equations with hemivariational inequalities |
| title_full | A new class of dual systems of fractional differential equations with hemivariational inequalities |
| title_fullStr | A new class of dual systems of fractional differential equations with hemivariational inequalities |
| title_full_unstemmed | A new class of dual systems of fractional differential equations with hemivariational inequalities |
| title_short | A new class of dual systems of fractional differential equations with hemivariational inequalities |
| title_sort | new class of dual systems of fractional differential equations with hemivariational inequalities |
| topic | Dual system Caputo fractional derivative Hemivariational inequality Rothe’s method Clarke subdifferential |
| url | https://doi.org/10.1186/s13660-025-03320-8 |
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