Computational analysis of corruption dynamics insight into fractional structures
The fractional derivative that is used to compute the solution of the corruption system with Power-Law Kernel, Mittag-Leffler Kernel, and Exponential Decay Kernel. It is important to study and analyse corruption dynamics, because it is an act that has a direct effect on public rights, and because of...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2024-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2024.2303437 |
| _version_ | 1797338642147966976 |
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| author | Ali Akgül Muhammad Farman Muhammad Sutan Aqeel Ahmad Sheraz Ahmad Arshad Munir Murad Khan Hassani |
| author_facet | Ali Akgül Muhammad Farman Muhammad Sutan Aqeel Ahmad Sheraz Ahmad Arshad Munir Murad Khan Hassani |
| author_sort | Ali Akgül |
| collection | DOAJ |
| description | The fractional derivative that is used to compute the solution of the corruption system with Power-Law Kernel, Mittag-Leffler Kernel, and Exponential Decay Kernel. It is important to study and analyse corruption dynamics, because it is an act that has a direct effect on public rights, and because of this the right of the rightful owner, just got destroyed. Using hypothesis theory for differential equation, this work suggests and assesses a nonlinear deterministic model for the dynamics of corruption. Positivity and boundedness are verified for the proposed corruption model to identify the level of resolution of corruption factor in society. Fractional-order corruption model is investigated with different kernels for efficient results. The necessary criteria for the best control of corruption transmission were identified using Pontryagin's maximal concept. The numerical simulation showed that corruption must be resisted by an integrated control strategy. Numerical simulations are used to demonstrate the correctness of the proposed approaches. Finally, simulations are derived for the proposed schemes to check the effectiveness of the results and to analyse the corruption behaviour in society as well as dynamically highlight the propagation of corruption group. |
| first_indexed | 2024-03-08T09:34:14Z |
| format | Article |
| id | doaj.art-c379de25934e4480bb79963838ab7aa3 |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-08T09:34:14Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-c379de25934e4480bb79963838ab7aa32024-01-30T15:34:55ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112024-12-0132110.1080/27690911.2024.2303437Computational analysis of corruption dynamics insight into fractional structuresAli Akgül0Muhammad Farman1Muhammad Sutan2Aqeel Ahmad3Sheraz Ahmad4Arshad Munir5Murad Khan Hassani6Department of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonData Analytics, Department of Design and visual Arts, Computer studies, Georgian College, CanadaDepartment of Mathematics, Ghazi University, D G Khan, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Islamic Studies, Ghazi University, D G Khan, PakistanDepartment of Mathematics, Ghazni University, AfghanistanThe fractional derivative that is used to compute the solution of the corruption system with Power-Law Kernel, Mittag-Leffler Kernel, and Exponential Decay Kernel. It is important to study and analyse corruption dynamics, because it is an act that has a direct effect on public rights, and because of this the right of the rightful owner, just got destroyed. Using hypothesis theory for differential equation, this work suggests and assesses a nonlinear deterministic model for the dynamics of corruption. Positivity and boundedness are verified for the proposed corruption model to identify the level of resolution of corruption factor in society. Fractional-order corruption model is investigated with different kernels for efficient results. The necessary criteria for the best control of corruption transmission were identified using Pontryagin's maximal concept. The numerical simulation showed that corruption must be resisted by an integrated control strategy. Numerical simulations are used to demonstrate the correctness of the proposed approaches. Finally, simulations are derived for the proposed schemes to check the effectiveness of the results and to analyse the corruption behaviour in society as well as dynamically highlight the propagation of corruption group.https://www.tandfonline.com/doi/10.1080/27690911.2024.2303437Algorithm’sfractional structurePontryagin’s maximalsimulationSC: 68V2068V30 |
| spellingShingle | Ali Akgül Muhammad Farman Muhammad Sutan Aqeel Ahmad Sheraz Ahmad Arshad Munir Murad Khan Hassani Computational analysis of corruption dynamics insight into fractional structures Applied Mathematics in Science and Engineering Algorithm’s fractional structure Pontryagin’s maximal simulation SC: 68V20 68V30 |
| title | Computational analysis of corruption dynamics insight into fractional structures |
| title_full | Computational analysis of corruption dynamics insight into fractional structures |
| title_fullStr | Computational analysis of corruption dynamics insight into fractional structures |
| title_full_unstemmed | Computational analysis of corruption dynamics insight into fractional structures |
| title_short | Computational analysis of corruption dynamics insight into fractional structures |
| title_sort | computational analysis of corruption dynamics insight into fractional structures |
| topic | Algorithm’s fractional structure Pontryagin’s maximal simulation SC: 68V20 68V30 |
| url | https://www.tandfonline.com/doi/10.1080/27690911.2024.2303437 |
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