Numerical Solution of Fuzzy Fractional Pharmacokinetics Model Arising from Drug Assimilation into the Bloodstream | Zendy

Ali Ahmadian | Zendy; Norazak Senu | Zendy; Farhad Larki | Zendy; Soheil Salahshour | Zendy; Mohamed Suleiman | Zendy; Md. Shabiul Islam | Zendy

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Numerical Solution of Fuzzy Fractional Pharmacokinetics Model Arising from Drug Assimilation into the Bloodstream

Author(s) -

Ali Ahmadian,

Norazak Senu,

Farhad Larki,

Soheil Salahshour,

Mohamed Suleiman,

Md. Shabiul Islam

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/304739

Subject(s) - mathematics , fractional calculus , pharmacokinetics , derivative (finance) , reliability (semiconductor) , algebraic equation , fuzzy logic , algebraic number , mathematical optimization , mathematical analysis , computer science , medicine , power (physics) , physics , quantum mechanics , nonlinear system , artificial intelligence , financial economics , economics

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 isbased 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 ofa 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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