Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model

Hussain A., Baleanu D., Adeel M.

Advances in Difference Equations, cilt.2020, sa.1, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2020 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1186/s13662-020-02845-0
  • Dergi Adı: Advances in Difference Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fractional Caputo–Fabrizio derivative, Novel coronavirus (nCoV-2019), Picard–Lindelöf technique
  • Uşak Üniversitesi Adresli: Hayır

Özet

The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo–Fabrizio derivative. We make use of fixed point theory and Picard–Lindelöf technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers–Ulam stability of the model using Gronwall’s inequality.