Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream
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 eq...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30212/ http://psasir.upm.edu.my/id/eprint/30212/1/30212.pdf |
| _version_ | 1848846613276000256 |
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| author | Ahmadian, Ali Senu, Norazak Larki, Farhad Salahshour, Soheil Suleiman, Mohamed Islam, Md. Shabiul |
| author_facet | Ahmadian, Ali Senu, Norazak Larki, Farhad Salahshour, Soheil Suleiman, Mohamed Islam, Md. Shabiul |
| author_sort | Ahmadian, Ali |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:05:29Z |
| format | Article |
| id | upm-30212 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:29Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302122017-10-19T05:32:29Z http://psasir.upm.edu.my/id/eprint/30212/ 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 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30212/1/30212.pdf 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 https://www.hindawi.com/journals/aaa/2013/304739/abs/ 10.1155/2013/304739 |
| spellingShingle | 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 |
| title | Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream |
| title_full | Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream |
| title_fullStr | Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream |
| title_full_unstemmed | Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream |
| title_short | Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream |
| title_sort | numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream |
| url | http://psasir.upm.edu.my/id/eprint/30212/ http://psasir.upm.edu.my/id/eprint/30212/ http://psasir.upm.edu.my/id/eprint/30212/ http://psasir.upm.edu.my/id/eprint/30212/1/30212.pdf |