On fractal-fractional Covid-19 mathematical model


Khan H., Ahmad F., Tunç O., Idrees M.

CHAOS SOLITONS & FRACTALS, vol.157, 2022 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 157
  • Publication Date: 2022
  • Doi Number: 10.1016/j.chaos.2022.111937
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, INSPEC, zbMATH
  • Keywords: Fractal-fractional calculus, Covid-19 mathematical model, Existence of solution, Stability analysis, Numerical simulations

Abstract

In this article, we are studying a Covid-19 mathematical model in the fractal-fractional sense of operators for the existence of solution, Hyers-Ulam (HU) stability and computational results. For the qualitative analysis, we convert the model to an equivalent integral form and investigate its qualitative analysis with the help of iterative convergent sequence and fixed point approach. For the computational aspect, we take help from the Lagrange's interpolation and produce a numerical scheme for the fractal-fractional waterborne model. The scheme is then tested for a case study and we obtain interesting results.(c) 2022 Published by Elsevier Ltd.