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Analysis of a fractional HIV model with Caputo and constant proportional Caputo operators      
Yazarlar
Doç. Dr. Hatıra GÜNERHAN Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye
Hemen Dutta
Türkiye
Mustafa Ali Dokuyucu
Ağrı İbrahim Çeçen Üniversitesi, Türkiye
Waleed Adel
Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı CHAOS SOLITONS FRACTALS
Dergi ISSN 0960-0779
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 10-2020
Cilt No 139
Sayı 1
Sayfalar 110053 / 0
Doi Numarası 10.1016/j.chaos.2020.110053
Makale Linki https://linkinghub.elsevier.com/retrieve/pii/S0960077920304501