ArticleMathematical methods in the applied sciences2021
Analytical and qualitative investigation of COVID-19 mathematical model under fractional differential operator.
Article in Mathematical methods in the applied sciences, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Modeling the dynamics of COVID-19 using fractal-fractional operator with a case study.Results in physics · 2022Article
- Analytical and qualitative investigation of COVID-19 mathematical model under fractional differential operator.Mathematical methods in the applied sciences · 2021Article
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6 authors.
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Abstract
In the current article, we aim to study in detail a novel coronavirus (2019-nCoV or COVID-19) mathematical model for different aspects under Caputo fractional derivative. First, from analysis point of view, existence is necessary to be investigated for any applied problem. Therefore, we used fixed point theorem's due to Banach's and Schaefer's to establish some sufficient results regarding existence and uniqueness of the solution to the proposed model. On the other hand, stability is important in respect of approximate solution, so we have developed condition sufficient for the stability of Ulam-Hyers and their different types for the considered system. In addition, the model has also been considered for semianalytical solution via Laplace Adomian decomposition method (LADM). On Matlab, by taking some real data about Pakistan, we graph the obtained results. In the last of the manuscript, a detail discussion and brief conclusion are provided.
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