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Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream


Citation

Ahmadian, Ali and Senu, Norazak and Larki, Farhad and Salahshour, Soheil and Suleiman, Mohamed and Islam, Md. Shabiul (2013) Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream. Abstract and Applied Analysis, 2013. art. no. 304739. pp. 1-17. ISSN 1085-3375; ESSN: 1687-0409

Abstract / Synopsis

We propose a Jacobi tau method for solving a fuzzy fractional pharmacokinetics. This problem can model the concentration of the drug in the blood as time increases. The proposed approach is based on the Jacobi tau (JT) method. To illustrate the reliability of the method, some special cases of the equations are solved as test examples. The method reduces the solution of the problem to the solution of a system of algebraic equations. Error analysis included the fractional derivative error estimation, and the upper bound of the absolute errors is introduced for this method.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: 10.1155/2013/304739
Publisher: Hindawi Publishing Corporation
Keywords: Fuzzy fractional differential equation; Tau method; Jacobi polynomials
Depositing User: Umikalthom Abdullah
Date Deposited: 26 Aug 2014 16:15
Last Modified: 19 Oct 2017 13:32
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/304739
URI: http://psasir.upm.edu.my/id/eprint/30212
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