Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative

This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution methodology relies on the reproducing-kernel algorithm to generate...

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Bibliographic Details
Published in:	Alexandria engineering journal Vol. 60; no. 5; pp. 4347 - 4362
Main Authors:	Harrouche, Nesrine, Momani, Shaher, Hasan, Shatha, Al-Smadi, Mohammed
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.10.2021 Elsevier
Subjects:	Caputo-Fabrizio fractional derivative Fuzzy differential equations Mathematical modeling of medicine Pharmacokinetics model Reproducing kernel algorithm Stability analysis Mathematical modeling of medicine Stability analysis Pharmacokinetics model Reproducing kernel algorithm Fuzzy differential equations Caputo-Fabrizio fractional derivative
ISSN:	1110-0168
Online Access:	Get full text
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Summary:	This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution methodology relies on the reproducing-kernel algorithm to generate analytical solutions in the form of a uniformly convergent series in the direct sum of the desired Hilbert spaces. The effectiveness of the method is analyzed by studying some theoretical, analytical, and stability results of the derived solutions based on the reproducing kernel theory. Numerical simulations are also provided in tables and graphs to demonstrate the reliability of this algorithm in solving fuzzy models using the new Caputo-Fabrizio fractional operator, especially for the drug pharmacokinetic model. The obtained results show the ability of the applied algorithm to solve a wide range of nonlinear fractional models emerging in pharmacology, medicine, and biochemistry.
ISSN:	1110-0168
DOI:	10.1016/j.aej.2021.03.016