具有米塔格-莱夫勒核的分数阶COVID-19模型的广义形式。
Generalized form of fractional order COVID-19 model with Mittag-Leffler kernel.
作者信息
Aslam Muhammad, Farman Muhammad, Akgül Ali, Ahmad Aqeel, Sun Meng
机构信息
Department of Chemistry and Materials Science, Northwest University Key Laboratory of Synthetic and Natural Functional Molecule Chemistry of Ministry of Education Xi'an P.R China.
Department of Mathematics and statistics University of Lahore Lahore Pakistan.
出版信息
Math Methods Appl Sci. 2021 Jul 30;44(11):8598-8614. doi: 10.1002/mma.7286. Epub 2021 Mar 10.
An important advantage of fractional derivatives is that we can formulate models describing much better systems with memory effects. Fractional operators with different memory are related to the different type of relaxation process of the nonlocal dynamical systems. Therefore, we investigate the COVID-19 model with the fractional derivatives in this paper. We apply very effective numerical methods to obtain the numerical results. We also use the Sumudu transform to get the solutions of the models. The Sumudu transform is able to keep the unit of the function, the parity of the function, and has many other properties that are more valuable. We present scientific results in the paper and also prove these results by effective numerical techniques which will be helpful to understand the outbreak of COVID-19.
分数阶导数的一个重要优势在于，我们能够构建出能更好地描述具有记忆效应系统的模型。具有不同记忆的分数阶算子与非局部动力系统的不同类型弛豫过程相关。因此，在本文中我们研究具有分数阶导数的COVID - 19模型。我们应用非常有效的数值方法来获得数值结果。我们还使用苏梅杜变换来得到模型的解。苏梅杜变换能够保持函数的单位、函数的奇偶性，并且具有许多其他更有价值的性质。我们在本文中给出科学结果，并通过有效的数值技术证明这些结果，这将有助于理解COVID - 19的爆发。
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