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A Nonstandard Two-Step Lagrange Interpolation Method for Fractional-Order Influenza Model: Comparative Study with Real Data |
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PP: 1-15 |
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doi:10.18576/pfda/120101
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Author(s) |
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Nasser Hassan Sweilam,
Nourhan Hamdy,
Ehab A. El-Sayed,
Tarek Emam,
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Abstract |
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| This paper’s major goal is to introduce novel computational studies of the fractional-order influenza mathematical model by utilizing three definitions for the fractional-order derivatives. For these models, the fractional derivatives were defined using the Caputo, Caputo-Fabrizio, and Atangana-Baleanu-Caputo definitions. Using the nonstandard two-step Lagrange interpolation approach, the fractional-order models become fitted. There are comparative analyses and numerical simulations provided to demonstrate and comprehend our findings. Moreover, comparative studies between the proposed definitions and the Kingdom of Saudi Arabia’s data on influenza cases per week demonstrate how well the suggested models capture the dynamics of disease. |
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