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Analytical and qualitative investigation of COVID‐19 mathematical model under fractional differential operator
- Source :
- Mathematical Methods in the Applied Sciences
- Publication Year :
- 2021
- Publisher :
- John Wiley and Sons Inc., 2021.
-
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.
- Subjects :
- Coronavirus disease 2019 (COVID-19)
Special Issue Papers
novel coronavirus mathematical models
General Mathematics
General Engineering
65l05
Fractional differential operator
34a12
analytical results
graphical interpretation
Special Issue Paper
Applied mathematics
fractional‐order derivative
Adomian decomposition method
26a33
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 10991476 and 01704214
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi.dedup.....8366cbae054484a9d8cf7f606e3e6b86