New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points

Sumati Kumari Panda; Abdon Atangana; Juan J Nieto

doi:10.3934/mbe.2021430

New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points

Math Biosci Eng. 2021 Oct 12;18(6):8683-8726. doi: 10.3934/mbe.2021430.

Authors

Sumati Kumari Panda¹, Abdon Atangana^{2

3}, Juan J Nieto⁴

Affiliations

¹ Department of Mathematics, GMR Institute of Technology, Rajam-532127, Andhra Pradesh, India.
² Institute for Groundwater Studies, University of the Free State, Bloemfontein 9300, South Africa.
³ Department of Medical Research, China Medical University Hospital, Taichung, Taiwan.
⁴ Institute of Mathematics, University of Santiago de Compostela, Santiago de Compostela 15782, Spain.

PMID: 34814319
DOI: 10.3934/mbe.2021430

Abstract

Extended orthogonal spaces are introduced and proved pertinent fixed point results. Thereafter, we present an analysis of the existence and unique solutions of the novel coronavirus 2019-nCoV/SARS-CoV-2 model via fractional derivatives. To strengthen our paper, we apply an efficient numerical scheme to solve the coronavirus 2019-nCoV/SARS-CoV-2 model with different types of differential operators.

Keywords: Fractional Atangana-Baleanu derivative; Fractional Caputo derivative; Fractional Caputo-Fabrizio derivative; fixed point technique; novel coronavirus 2019-nCoV/SARS-CoV-2 model.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

COVID-19*
Humans
SARS-CoV-2*