Solutions of Conformable Fractional-Order SIR Epidemic Model
In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM). These models are nonlinear system of conformab...
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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: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/6636686 |
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| _version_ | 1832547774396104704 |
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| author | Atimad Harir Said Malliani Lalla Saadia Chandli |
| author_facet | Atimad Harir Said Malliani Lalla Saadia Chandli |
| author_sort | Atimad Harir |
| collection | DOAJ |
| description | In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM). These models are nonlinear system of conformable fractional differential equation (CFDE) that has no analytic solution. The VIM is based on conformable fractional derivative and proved. The result revealed that both methods are in agreement and are accurate and efficient for solving systems of OFDE. |
| format | Article |
| id | doaj-art-4acbc8f33a034fff89cfbab7dfa0b347 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-4acbc8f33a034fff89cfbab7dfa0b3472025-02-03T06:43:33ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/66366866636686Solutions of Conformable Fractional-Order SIR Epidemic ModelAtimad Harir0Said Malliani1Lalla Saadia Chandli2Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, MoroccoIn this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM). These models are nonlinear system of conformable fractional differential equation (CFDE) that has no analytic solution. The VIM is based on conformable fractional derivative and proved. The result revealed that both methods are in agreement and are accurate and efficient for solving systems of OFDE.http://dx.doi.org/10.1155/2021/6636686 |
| spellingShingle | Atimad Harir Said Malliani Lalla Saadia Chandli Solutions of Conformable Fractional-Order SIR Epidemic Model International Journal of Differential Equations |
| title | Solutions of Conformable Fractional-Order SIR Epidemic Model |
| title_full | Solutions of Conformable Fractional-Order SIR Epidemic Model |
| title_fullStr | Solutions of Conformable Fractional-Order SIR Epidemic Model |
| title_full_unstemmed | Solutions of Conformable Fractional-Order SIR Epidemic Model |
| title_short | Solutions of Conformable Fractional-Order SIR Epidemic Model |
| title_sort | solutions of conformable fractional order sir epidemic model |
| url | http://dx.doi.org/10.1155/2021/6636686 |
| work_keys_str_mv | AT atimadharir solutionsofconformablefractionalordersirepidemicmodel AT saidmalliani solutionsofconformablefractionalordersirepidemicmodel AT lallasaadiachandli solutionsofconformablefractionalordersirepidemicmodel |