Special Issue Section on Fractal AI-Based Analyses and Applications to Complex Systems: Part IIOpen Access

CAPUTO TYPE FRACTIONAL OPERATOR APPLIED TO HEPATITIS B SYSTEM

ANWARUD DIN

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China

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YONGJIN LI

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China

E-mail Address: stslyj@mail.sysu.edu.cn

Corresponding author.

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ABDULLAHI YUSUF

Department of Computer Engineering, Biruni University, Istanbul, Turkey

Department of Mathematics, Federal University Dutse, Jigawa, Nigeria

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, and

ALIYU ISA ALI

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China

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https://doi.org/10.1142/S0218348X22400230Cited by:55 (Source: Crossref)

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.

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Vol. 30, No. 01

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History

Received 24 February 2021

Accepted 31 May 2021

Published: September 3, 2021

Information

This is an Open Access article in the “Special Issue Section on Fractal AI-Based Analyses and Applications to Complex Systems: Part II”, edited by Yeliz Karaca (University of Massachusetts Medical School, USA), Dumitru Baleanu (Cankaya University, Turkey), Majaz Moonis (University of Massachusetts Medical School, USA), Khan Muhammad (Sejong University, South Korea), Yu-Dong Zhang (University of Leicester, UK) & Osvaldo Gervasi (Perugia University, Italy) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 (CC BY-NC-ND) License which permits use, distribution and reproduction, provided that the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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CAPUTO TYPE FRACTIONAL OPERATOR APPLIED TO HEPATITIS B SYSTEM

Abstract

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