Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order

Pratibha Verma and Manoj Kumar

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: The main aim of this study is to present a new variable fractional-order derivatives for novel coronavirus (2019-nCOV) system with the variable Caputo-Fabrizio in Caputo sense. By using the fixed point theory, we explore the new existence and uniqueness results of the solution for the proposed 2019-nCOV system. The existence result is obtained with the aid of the Krasnoselskii fixed point theorem while the uniqueness of the solution has been investigated by utilizing the Banach fixed point theorem. Furthermore, we study the generalized Hyers-Ulam stability as well as the generalized Hyers-Ulam-Rassias stability and also discuss some more interesting results for the proposed system.

Keywords: Variable Caputo-Fabrizio fractional derivative; Novel coronavirus (2019-nCOV); Fixed point theorems; Positive solutions; Existence and uniqueness; Maximal and minimal solutions; Ulam-Hyers stability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308432

DOI: 10.1016/j.chaos.2020.110451

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