A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative
In this paper, we consider a fractional-order mathematical system comprising four different compartments for the recent pandemic of SARS-CoV-2 with regard to global and singular kernels of Caputo fractional operator. The SARS-CoV-2 fractional mathematical model is analyzed for series-type solution b...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5877970 |
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| author | Badr Saad T. Alkahtani |
| author_facet | Badr Saad T. Alkahtani |
| author_sort | Badr Saad T. Alkahtani |
| collection | DOAJ |
| description | In this paper, we consider a fractional-order mathematical system comprising four different compartments for the recent pandemic of SARS-CoV-2 with regard to global and singular kernels of Caputo fractional operator. The SARS-CoV-2 fractional mathematical model is analyzed for series-type solution by Laplace–Adomian decomposition techniques (LADM) and homotopy perturbation method (HPM). The whole quantity of each compartment is divided into small parts, and then the sum of these all parts is written as a series solution for each agent of the system, while the nonlinear part is decomposed using the Adomian polynomial. The model is also checked for approximate solution by HPM through a comparison of the parameter power, p, for each equation. The numerical simulation for both methods is provided in different fractional orders along with comparison with each other as well as with natural order 1. |
| format | Article |
| id | doaj-art-420c222eadbd46e58fb0803ee0155f05 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-420c222eadbd46e58fb0803ee0155f052025-02-03T01:09:53ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5877970A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional DerivativeBadr Saad T. Alkahtani0Department of MathematicsIn this paper, we consider a fractional-order mathematical system comprising four different compartments for the recent pandemic of SARS-CoV-2 with regard to global and singular kernels of Caputo fractional operator. The SARS-CoV-2 fractional mathematical model is analyzed for series-type solution by Laplace–Adomian decomposition techniques (LADM) and homotopy perturbation method (HPM). The whole quantity of each compartment is divided into small parts, and then the sum of these all parts is written as a series solution for each agent of the system, while the nonlinear part is decomposed using the Adomian polynomial. The model is also checked for approximate solution by HPM through a comparison of the parameter power, p, for each equation. The numerical simulation for both methods is provided in different fractional orders along with comparison with each other as well as with natural order 1.http://dx.doi.org/10.1155/2022/5877970 |
| spellingShingle | Badr Saad T. Alkahtani A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative Journal of Function Spaces |
| title | A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative |
| title_full | A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative |
| title_fullStr | A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative |
| title_full_unstemmed | A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative |
| title_short | A Fractional-Order Investigation of Vaccinated SARS-CoV-2 Epidemic Model with Caputo Fractional Derivative |
| title_sort | fractional order investigation of vaccinated sars cov 2 epidemic model with caputo fractional derivative |
| url | http://dx.doi.org/10.1155/2022/5877970 |
| work_keys_str_mv | AT badrsaadtalkahtani afractionalorderinvestigationofvaccinatedsarscov2epidemicmodelwithcaputofractionalderivative AT badrsaadtalkahtani fractionalorderinvestigationofvaccinatedsarscov2epidemicmodelwithcaputofractionalderivative |