Numerical Treatments for the Optimal Control of Two Types Variable-Order Covid-19 Model
| dc.contributor.author | Al-Mekhlafi, Seham | |
| dc.contributor.author | Shatta, Salma | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Sweilam, Nasser | |
| dc.date.accessioned | 2024-04-29T12:20:19Z | |
| dc.date.accessioned | 2025-09-18T12:08:22Z | |
| dc.date.available | 2024-04-29T12:20:19Z | |
| dc.date.available | 2025-09-18T12:08:22Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this paper, a novel variable-order COVID-19 model with modified parameters is presented. The variable -order fractional derivatives are defined in the Caputo sense. Two types of variable order Caputo definitions are presented here. The basic reproduction number of the model is derived. Properties of the proposed model are studied analytically and numerically. The suggested optimal control model is studied using two numerical methods. These methods are non-standard generalized fourth-order Runge-Kutta method and the non-standard generalized fifth-order Runge-Kutta technique. Furthermore, the stability of the proposed methods are studied. To demonstrate the methodologies' simplicity and effectiveness, numerical test examples and comparisons with real data for Egypt and Italy are shown. | en_US |
| dc.identifier.citation | Sweilam, Nasser;...et.al. (2022). "Numerical treatments for the optimal control of two types variable-order COVID-19 model", Results in Physics, Vol.42. | en_US |
| dc.identifier.doi | 10.1016/j.rinp.2022.105964 | |
| dc.identifier.issn | 2211-3797 | |
| dc.identifier.scopus | 2-s2.0-85137572415 | |
| dc.identifier.uri | https://doi.org/10.1016/j.rinp.2022.105964 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11116 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Results in Physics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Covid-19 Epidemic Models | en_US |
| dc.subject | Caputo?S Derivatives | en_US |
| dc.subject | Optimal Control Theory | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.subject | Non-Standard Generalized Runge-Kutta Methods | en_US |
| dc.title | Numerical Treatments for the Optimal Control of Two Types Variable-Order Covid-19 Model | en_US |
| dc.title | Numerical treatments for the optimal control of two types variable-order COVID-19 model | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Shatta, Salma/Kfb-2375-2024 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Sweilam, Nasser/Q-2175-2019 | |
| gdc.author.wosid | Al-Mekhlafi, Seham/Jzc-8933-2024 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Sweilam, Nasser] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt; [Al-Mekhlafi, Seham] Sanaa Univ, Fac Educ, Dept Math, Sanaa, Yemen; [Al-Mekhlafi, Seham] Future Univ Egypt, Dept Engn Math & Phys, New Cairo, Egypt; [Shatta, Salma] Helwan Univ, Fac Sci, Dept Math, Cairo, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele Buchares, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 105964 | |
| gdc.description.volume | 42 | en_US |
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| gdc.oaire.keywords | Optimal control theory | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | QC1-999 | |
| gdc.oaire.keywords | COVID-19 epidemic models | |
| gdc.oaire.keywords | Stability analysis | |
| gdc.oaire.keywords | Non-standard generalized Runge–Kutta methods | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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