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; Sumati Kumari Panda; Abdon Atangana; Juan J. Nieto

doi:10.3934/mbe.2021430

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 6: 8683-8726. doi: 10.3934/mbe.2021430

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

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
Correction on: Mathematical Biosciences and Engineering 19: 1588-1590

Received: 19 August 2021 Accepted: 16 September 2021 Published: 12 October 2021

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.
Citation: Sumati Kumari Panda, Abdon Atangana, Juan J. Nieto. New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points[J]. Mathematical Biosciences and Engineering, 2021, 18(6): 8683-8726. doi: 10.3934/mbe.2021430

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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.

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