Analysis of a fractional HIV model with Caputo and constant proportional Caputo operators

Hatıra Günerhan, Hemen Dutta, Mustafa Ali Dokuyucu and Waleed Adel

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: 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.

Keywords: Fractional differential transformed method (FDTM); Laplace adomian decomposition method (LADM); HIV epidemic model; Fractional power series; Caputo derivative; Constant proportional Caputo operator; Stability (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304501

DOI: 10.1016/j.chaos.2020.110053

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