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

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

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Official URL: http://dx.doi.org/10.1155/2013/304739

Abstract

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.

Item Type:Article
Keyword:Fuzzy fractional differential equation; Tau method; Jacobi polynomials
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2013/304739
ID Code:30212
Deposited By: Umikalthom Abdullah
Deposited On:26 Aug 2014 16:15
Last Modified:15 Feb 2016 12:14

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