Analytic Solution for Fuzzy Conformable Pharmacokinetic Model

In this paper, we propose an analytic technique, namely, the residual power series method (RPSM), to solve a two-compartment pharmacokinetic model on which fuzzy conformable fractional derivative (FCFD) operates. Applying the characterization theorem, we rewrite fuzzy pharmacokinetic fractional initial value problem (FIVP) as a system of crisp FIVPs, then RPSM is implemented to give a parametric solution for the resulting system in the form of rapidly convergent fractional power series. Some graphical results for drug concentration in blood stream are presented and absolute errors are tabulated to show the efficiency of the proposed method when applied to fuzzy fractional clinical pharmacokinetic model.