The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model

In this paper, the derivation of the 2 -point Fractional Block Backward Differentiation Formula is studied and used to solve the fractional Pharmacokinetics model. The method is developed using the fractional linear multistep method connected to the linear difference operator. The analysis of the method's stability properties confirms that the stability regions appear to be A -stable for various values of fractional order alpha. Numerical results obtained using the proposed method are investigated. Additionally, the impact of fractional order on the quantity of the drug within the human body is examined.