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EXISTENCE RESULTS AND NUMERICAL STUDY ON NOVEL CORONAVIRUS 2019-NCOV/ SARS-COV-2 MODEL USING DIFFERENTIAL OPERATORS BASED ON THE GENERALIZED MITTAG-LEFFLER KERNEL AND FIXED POINTS

SUMATI KUMARI PANDA

Department of Mathematics, GMR Institute of Technology, Rajam 532 127, Andhra Pradesh, India

E-mail Address: mumy143143143@gmail.com

E-mail Address: sumatikumari.p@gmrit.edu.in

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ABDON ATANGANA

Institute for Groundwater Studies, University of the Free State, Bloemfontein 9300, South Africa

E-mail Address: abdonatangana@yahoo.fr

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, and

THABET ABDELJAWAD

Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

Department of Medical Research, China Medical University, Taichung, Taiwan

E-mail Address: tabdeljawad@psu.edu.sa

Corresponding author.

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https://doi.org/10.1142/S0218348X22402149Cited by:14 (Source: Crossref)

This article is part of the issue:

Special Issue on Piecewise Differentiation and Integration: A New Mathematical Approach to Capture Complex Real-World Problems with Crossover Behaviors
Lead Guest Editor: Abdon Atangana
Guest Editors: Emile Franc Doungmo Goufo, Kolade Matthew Owolabi, Seda Iğret Araz and Muhammad Bilal Riaz

Abstract

The use of mathematical modeling in the exploration of epidemiological disorders has increased dramatically. Mathematical models can be used to forecast how viral infections spread, as well as to depict the likely outcome of an outbreak and to support public health measures. In this paper, we present useful ideas for finding existence of solutions of the novel coronavirus 2019-nCoV/ SARS-CoV-2 model via fractional derivatives by using fuzzy mappings. Three classes of fractional operators were considered including Atangana–Baleanu, Caputo–Fabrizio and Caputo. For each case, we introduce the fuzzination in the study of the existence of a system of solutions. A fresh numerical scheme was proposed for each scenario, and then numerical simulations involving various parameters of Atangana–Baleanu fractional-order were shown utilizing numerical solutions.

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Vol. 30, No. 08

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History

Received 6 November 2021

Accepted 22 April 2022

Published: October 19, 2022

Information

This is an Open Access article in the “Special issue on Piecewise Differentiation and Integration: A New Mathematical Approach to Capture Complex Real World Problems with Crossover Behaviors”, edited by Abdon Atangana (University of the Free State, South Africa), Emile Franc Doungmo Goufo (University of South Africa), Kolade Owolabi Matthiew (Federal University of Technology, Akura, Nigeria), Seda Iğret Araz (Siirt University, Turkey) & Muhammad Bilal Riaz (University of Management and Technology, Pakistan) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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EXISTENCE RESULTS AND NUMERICAL STUDY ON NOVEL CORONAVIRUS 2019-NCOV/ SARS-COV-2 MODEL USING DIFFERENTIAL OPERATORS BASED ON THE GENERALIZED MITTAG-LEFFLER KERNEL AND FIXED POINTS

Abstract

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