On a Nonlinear Fractional-Order Model of COVID-19 Under AB-Fractional Derivative

Aydoğan S. M., Hussain A., Sakar F. M.

JOURNAL OF MATHEMATICAL EXTENSION, cilt.15, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15
  • Basım Tarihi: 2021
  • Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we present a BOX mathematical model for the release of COVID-19.We intend to generalize the model to fractional order derivative in Atangana-Baleanu sense and to show the existence of solution for the fractional model using Schaefer's fixed point theorem and for the uniqueness of solution we make use of Banach fixed point theorem. By using Shehu transform and Picard successive iterative procedure, we explore the iterative solutions and its stability for the considered fractional model. Given the beginning of a new wave of COVID-19 spread in Indonesia, we present a numerical simulation to study and predict the spread of the disease in this country.