CAPUTO TYPE FRACTIONAL OPERATOR APPLIED TO HEPATITIS B SYSTEM
Anwarud Din, Yongjin Li, Abdullahi Yusuf, ALIYU ISA ALI
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.
Topics & Concepts
Adomian decomposition methodFractional calculusMathematicsLaplace transformType (biology)Nonlinear systemApplied mathematicsMATLABInteger (computer science)Order (exchange)Operator (biology)Decomposition method (queueing theory)Mathematical analysisDiscrete mathematicsComputer sciencePartial differential equationPhysicsGeneFinanceQuantum mechanicsRepressorBiologyEconomicsEcologyOperating systemProgramming languageChemistryBiochemistryTranscription factorFractional Differential Equations SolutionsAdvanced Control Systems DesignMathematical and Theoretical Epidemiology and Ecology Models