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

Pratibha Verma; Manoj Kumar

doi:10.1016/j.chaos.2020.110451

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

Chaos Solitons Fractals. 2021 Jan:142:110451. doi: 10.1016/j.chaos.2020.110451. Epub 2020 Nov 10.

Authors

Pratibha Verma¹, Manoj Kumar¹

Affiliation

¹ Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India.

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: Existence and uniqueness; Fixed point theorems; Maximal and minimal solutions; Novel coronavirus (2019-nCOV); Positive solutions; Ulam-Hyers stability; Variable Caputo-Fabrizio fractional derivative.