Evidence map›Paper›PMID 35462615›Full record

ArticleAdvances in continuous and discrete models2022

Investigation of a time-fractional COVID-19 mathematical model with singular kernel.

Adnan, Amir Ali, Mati Ur Rahmamn, Zahir Shah, Poom Kumam

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In one paragraph

Article in Advances in continuous and discrete models, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.

0numbers the graph read from it
0cells of the map it votes in
3citing papers in PubMed
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1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

Who cites it

3 citing papers in PubMed.

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4 · The record

Corrections and comments

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5 · Who and what money

Authors and funding

5 authors.

AdnanDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa Pakistan.
Amir AliDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa Pakistan.
Mati Ur RahmamnDepartment of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, P.R. China.
Zahir ShahDepartment of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, 28420 Khyber Pakhtunkhwa Pakistan.
Poom KumamFixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140 Thailand.ORCID 0000-0002-5463-4581

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace-Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximate series solutions of the considered system. The existence and uniqueness solution of the system are presented by using the Banach fixed-point theorem. Ulam-Hyers-type stability is investigated for the proposed model. The obtained approximations are compared with numerical simulations of the proposed model as well as associated real data for numerous fractional-orders. The results reveal a good comparison between the numerical simulations versus approximations of the considered model. Further, one can see good agreements are obtained as compared to the classical integer order.

Indexed as

Caputo fractional operatorHomotopy perturbation methodLaplace–Adomian decomposition methodMathematical model of COVID-19Ulam–Hyers stability

Identifiers

PMID35462615
PMCPMC9013746

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