TY - GEN
T1 - Analytic Solution for Fuzzy Conformable Pharmacokinetic Model
AU - Alabraq, Hadeel
AU - Hasan, Shatha
AU - Momani, Shaher
AU - Al-Smadi, Mohammed
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - conformable derivative
KW - fractional calculus
KW - fuzzy calculus
KW - generalized Hukuhara derivative
KW - pharmacokinetic model
UR - https://www.scopus.com/pages/publications/85164537961
U2 - 10.1109/ICFDA58234.2023.10153369
DO - 10.1109/ICFDA58234.2023.10153369
M3 - Conference contribution
AN - SCOPUS:85164537961
T3 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
BT - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Y2 - 14 March 2023 through 16 March 2023
ER -