Open AccessCAPUTO TYPE FRACTIONAL OPERATOR APPLIED TO HEPATITIS B SYSTEM
Author(s) -
Anwarud Din,
Yongjin Li,
Abdullahi Yusuf,
Aliyu Isa Ali
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x22400230
Subject(s) - adomian decomposition method , fractional calculus , mathematics , laplace transform , type (biology) , nonlinear system , matlab , operator (biology) , integer (computer science) , mathematical analysis , computer science , partial differential equation , physics , ecology , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene , biology , programming language , operating system
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.