Analysis of COVID-19 Fractional Model Pertaining to the Atangana-Baleanu-Caputo Fractional Derivatives
The transmission dynamics of a COVID-19 pandemic model with vertical transmission is extended to nonsingular kernel type of fractional differentiation. To study the model, Atangana-Baleanu fractional operator in Caputo sense with nonsingular and nonlocal kernels is used. By using the Picard-Lindel m...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/2643572 |
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| _version_ | 1832559246205517824 |
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| author | Roman Ullah Muhammad Waseem Norhayati Binti Rosli Jeevan Kafle |
| author_facet | Roman Ullah Muhammad Waseem Norhayati Binti Rosli Jeevan Kafle |
| author_sort | Roman Ullah |
| collection | DOAJ |
| description | The transmission dynamics of a COVID-19 pandemic model with vertical transmission is extended to nonsingular kernel type of fractional differentiation. To study the model, Atangana-Baleanu fractional operator in Caputo sense with nonsingular and nonlocal kernels is used. By using the Picard-Lindel method, the existence and uniqueness of the solution are investigated. The Hyers-Ulam type stability of the extended model is discussed. Finally, numerical simulations are performed based on real data of COVID-19 in Indonesia to show the plots of the impacts of the fractional order derivative with the expectation that the proposed model approximation will be better than that of the established classical model. |
| format | Article |
| id | doaj-art-dd6e8df3b3e34e6eabc1ef598e4a7537 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-dd6e8df3b3e34e6eabc1ef598e4a75372025-02-03T01:30:38ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/2643572Analysis of COVID-19 Fractional Model Pertaining to the Atangana-Baleanu-Caputo Fractional DerivativesRoman Ullah0Muhammad Waseem1Norhayati Binti Rosli2Jeevan Kafle3Department of ComputingDepartment of MathematicsCenter for Mathematical SciencesCentral Department of MathematicsThe transmission dynamics of a COVID-19 pandemic model with vertical transmission is extended to nonsingular kernel type of fractional differentiation. To study the model, Atangana-Baleanu fractional operator in Caputo sense with nonsingular and nonlocal kernels is used. By using the Picard-Lindel method, the existence and uniqueness of the solution are investigated. The Hyers-Ulam type stability of the extended model is discussed. Finally, numerical simulations are performed based on real data of COVID-19 in Indonesia to show the plots of the impacts of the fractional order derivative with the expectation that the proposed model approximation will be better than that of the established classical model.http://dx.doi.org/10.1155/2021/2643572 |
| spellingShingle | Roman Ullah Muhammad Waseem Norhayati Binti Rosli Jeevan Kafle Analysis of COVID-19 Fractional Model Pertaining to the Atangana-Baleanu-Caputo Fractional Derivatives Journal of Function Spaces |
| title | Analysis of COVID-19 Fractional Model Pertaining to the Atangana-Baleanu-Caputo Fractional Derivatives |
| title_full | Analysis of COVID-19 Fractional Model Pertaining to the Atangana-Baleanu-Caputo Fractional Derivatives |
| title_fullStr | Analysis of COVID-19 Fractional Model Pertaining to the Atangana-Baleanu-Caputo Fractional Derivatives |
| title_full_unstemmed | Analysis of COVID-19 Fractional Model Pertaining to the Atangana-Baleanu-Caputo Fractional Derivatives |
| title_short | Analysis of COVID-19 Fractional Model Pertaining to the Atangana-Baleanu-Caputo Fractional Derivatives |
| title_sort | analysis of covid 19 fractional model pertaining to the atangana baleanu caputo fractional derivatives |
| url | http://dx.doi.org/10.1155/2021/2643572 |
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