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

Ali Ahmadian, Norazak Senu, Farhad Larki, Soheil Salahshour, Mohamed Suleiman, Md. Shabiul Islam

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Article number304739
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Pharmacokinetics
Error analysis
Tau Method
Jacobi Method
Drugs
Fractional
Numerical Solution
Derivative Estimation
Blood
Error Estimation
Fractional Derivative
Derivatives
Error Analysis
Algebraic Equation
Model
Upper bound

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream. / Ahmadian, Ali; Senu, Norazak; Larki, Farhad; Salahshour, Soheil; Suleiman, Mohamed; Islam, Md. Shabiul.

In: Abstract and Applied Analysis, Vol. 2013, 304739, 2013.

Research output: Contribution to journalArticle

Ahmadian, Ali ; Senu, Norazak ; Larki, Farhad ; Salahshour, Soheil ; Suleiman, Mohamed ; Islam, Md. Shabiul. / Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream. In: Abstract and Applied Analysis. 2013 ; Vol. 2013.
@article{9948f9f8d3ac46558242a4c42cb4585b,
title = "Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream",
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.",
author = "Ali Ahmadian and Norazak Senu and Farhad Larki and Soheil Salahshour and Mohamed Suleiman and Islam, {Md. Shabiul}",
year = "2013",
doi = "10.1155/2013/304739",
language = "English",
volume = "2013",
journal = "Abstract and Applied Analysis",
issn = "1085-3375",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream

AU - Ahmadian, Ali

AU - Senu, Norazak

AU - Larki, Farhad

AU - Salahshour, Soheil

AU - Suleiman, Mohamed

AU - Islam, Md. Shabiul

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84893174274&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893174274&partnerID=8YFLogxK

U2 - 10.1155/2013/304739

DO - 10.1155/2013/304739

M3 - Article

AN - SCOPUS:84893174274

VL - 2013

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

SN - 1085-3375

M1 - 304739

ER -