CAPUTO TYPE FRACTIONAL OPERATOR APPLIED TO HEPATITIS B SYSTEM

Anwarud Din, Yongjin Li, Abdullahi Yusuf and Aliyu Isa Ali
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Anwarud Din: Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China
Yongjin Li: Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China
Abdullahi Yusuf: ��Department of Computer Engineering, Biruni University, Istanbul, Turkey‡Department of Mathematics, Federal University Dutse, Jigawa, Nigeria
Aliyu Isa Ali: Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-11

Abstract: In our research work, we develop the analysis of a noninteger-order model for hepatitis B (HBV) under singular type Caputo fractional-order derivative. We investigated our proposed system for an approximate or semi-analytical solution using Laplace transform along with decomposition techniques by Adomian polynomial of nonlinear terms and some perturbation techniques of Homotopy (HPM). The obtained solutions have been compared with each other against some real data by simulation via MATLAB. The graphical simulation in fractional form shows a better general result as compared to integer-order simulation.

Keywords: Fractional-Order HBV Model; Laplace Adomian Decomposition Techniques (LADM); Homotopy Perturbation Techniques (HPM); Semi-Analytical Solution; Singular Caputo Operator Derivative; Numerical Solution (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0218348X22400230

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