On fractal-fractional Covid-19 mathematical model


Khan H., Ahmad F., Tunç O., Idrees M.

CHAOS SOLITONS & FRACTALS, cilt.157, 2022 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 157
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.chaos.2022.111937
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Anahtar Kelimeler: Fractal-fractional calculus, Covid-19 mathematical model, Existence of solution, Stability analysis, Numerical simulations
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.