A Fractional Differential Equation Model for the Covid-19 Transmission by Using the Caputo-Fabrizio Derivative
| dc.contributor.author | Mohammadi, Hakimeh | |
| dc.contributor.author | Rezapour, Shahram | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2021-01-05T11:38:36Z | |
| dc.date.accessioned | 2025-09-18T14:10:47Z | |
| dc.date.available | 2021-01-05T11:38:36Z | |
| dc.date.available | 2025-09-18T14:10:47Z | |
| dc.date.issued | 2020 | |
| dc.description | Mohammadi, Hakimeh/0000-0002-7492-9782; Rezapour, Shahram/0000-0003-3463-2607 | en_US |
| dc.description.abstract | We present a fractional-order model for the COVID-19 transmission with Caputo-Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give approximate solution in convergent series. We prove the existence of a unique solution and the stability of the iteration approach by using fixed point theory. We also present numerical results to simulate virus transmission and compare the results with those of the Caputo derivative. | en_US |
| dc.description.sponsorship | Azarbaijan Shahid Madani University; Miandoab Branch of Islamic Azad University | en_US |
| dc.description.sponsorship | Research of the third author was supported by Azarbaijan Shahid Madani University. Also, research of the second author was supported by Miandoab Branch of Islamic Azad University. The authors are thankful to dear referees for the valuable comments which improved the final version of this work. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...at all (2020). "A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02762-2 | |
| dc.identifier.issn | 1687-1847 | |
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| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02762-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13799 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Mathematical Model | en_US |
| dc.subject | Numerical Simulation | en_US |
| dc.subject | Caputo-Fabrizio Derivative | en_US |
| dc.title | A Fractional Differential Equation Model for the Covid-19 Transmission by Using the Caputo-Fabrizio Derivative | en_US |
| dc.title | A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mohammadi, Hakimeh/0000-0002-7492-9782 | |
| gdc.author.id | Rezapour, Shahram/0000-0003-3463-2607 | |
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| gdc.author.wosid | Mohammadi, Hakimeh/Aan-4604-2021 | |
| gdc.author.wosid | Rezapour, Shahram/N-4883-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Mohammadi, Hakimeh] Islamic Azad Univ, Dept Math, Miandoab Branch, Miandoab, Iran; [Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran; [Baleanu, Dumitru; Rezapour, Shahram] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
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