Analytical and qualitative investigation of COVID-19 mathematical model under fractional differential operator.
Adomian decomposition method
analytical results
fractional‐order derivative
graphical interpretation
novel coronavirus mathematical models
Journal
Mathematical methods in the applied sciences
ISSN: 0170-4214
Titre abrégé: Math Methods Appl Sci
Pays: Germany
ID NLM: 9888551
Informations de publication
Date de publication:
22 Aug 2021
22 Aug 2021
Historique:
received:
16
11
2020
revised:
30
05
2021
accepted:
07
06
2021
entrez:
15
12
2021
pubmed:
16
12
2021
medline:
16
12
2021
Statut:
aheadofprint
Résumé
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.
Identifiants
pubmed: 34908635
doi: 10.1002/mma.7704
pii: MMA7704
pmc: PMC8662024
doi:
Types de publication
Journal Article
Langues
eng
Informations de copyright
© 2021 John Wiley & Sons, Ltd.
Déclaration de conflit d'intérêts
There exists no competing interest regarding this research work.
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