Study of mathematical model of Hepatitis <i>B</i> under Caputo-Fabrizo derivative
Sajjad Ali Khan, Kamal Shah, Poom Kumam, Aly R. Seadawy, Gul Zaman, Zahir Shah
Abstract
The current work is devoted to bring out a detail analysis including qualitative and semi-analytical study of Hepatitis <i>B</i> model under the Caputo- Fabrizio fractional derivative (CFFD). For the required results, fixed point theory is used to establish the conditions for existence and uniqueness of solution to the considered model. On the other hand, for semi analytical solutions, we use decomposition method of Adomian coupled with integral transform of Laplace. Moreover, the concerned solutions are presented via graphs to analyze the dynamics of different compartments of the model.
Topics & Concepts
Derivative (finance)MathematicsApplied mathematicsEconomicsFinancial economicsFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis