Analysis of a fractional HIV model with Caputo and constant proportional Caputo operators
      
Yazarlar (4)
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
Hemen Dutta Gauhati University, Hindistan
Mustafa Ali Dokuyucu Aǧrı İbrahim Çeçen Üniversitesi, Türkiye
Waleed Adel Faculty Of Engineering, Mısır
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Chaos Solitons and Fractals (Q1)
Dergi ISSN 0960-0779 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 10-2020
Cilt / Sayı / Sayfa 139 / 1 / 110053–0 DOI 10.1016/j.chaos.2020.110053
Makale Linki https://linkinghub.elsevier.com/retrieve/pii/S0960077920304501
Özet
The paper aims to investigate an HIV epidemic fractional model. The fractional derivatives are described in the sense of Caputo operator and Constant Proportional Caputo (CPC) operator, respectively. The existence of solution and stability analysis of the HIV mathematical model have been presented for the CPC fractional operator. The model is attempted to solve by using the fractional differential transform method and the Laplace Adomian decomposition method, respectively. The methods are further examined for different values of fractional order α. The findings show that the methods are effective for providing better results.
Anahtar Kelimeler
Caputo derivative | Constant proportional Caputo operator | Fractional differential transformed method (FDTM) | Fractional power series | HIV epidemic model | Laplace adomian decomposition method (LADM) | Stability