期刊
CHAOS SOLITONS & FRACTALS
卷 139, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.110053
关键词
Fractional differential transformed method (FDTM); Laplace adomian decomposition method (LADM); HIV epidemic model; Fractional power series; Caputo derivative; Constant proportional Caputo operator; Stability
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 a. The findings show that the methods are effective for providing better results. (C) 2020 Elsevier Ltd. All rights reserved.
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