Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law
In this paper, we study an epidemic model with Atangana-Baleanu-Caputo (ABC) fractional derivative. We obtain a special solution using an iterative scheme via Laplace transformation. Uniqueness and existence of a solution using the Banach fixed point theorem are studied. A detailed analysis of the s...
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| Outros Autores: | , |
| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2021
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| Assuntos: | |
| Texto completo: | http://hdl.handle.net/10773/31934 |
| País: | Portugal |
| Oai: | oai:ria.ua.pt:10773/31934 |
| Resumo: | In this paper, we study an epidemic model with Atangana-Baleanu-Caputo (ABC) fractional derivative. We obtain a special solution using an iterative scheme via Laplace transformation. Uniqueness and existence of a solution using the Banach fixed point theorem are studied. A detailed analysis of the stability of the special solution is presented. Finally, our generalized model in the ABC fractional derivative sense is solved numerically by the Adams-Bashforth-Moulton method. |
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