A legendre approximation for solving a fuzzy fractional drug transduction model into the bloodstream

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

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Citations (Scopus)

Abstract

While an increasing number of fractional order integrals and differential equations applications have been reported in the physics, signal processing, engineering and bioengineering literatures, little attention has been paid to this class of models in the pharmacokineticspharmacodynamic (PKPD) literature. In this research, we are confined with the application of Legendre operational matrix for solving fuzzy fractional differential equation arising in the drug delivery model into the bloodstream. The results illustrates the effectiveness of the method which can be in high agreement with the exact solution.

Original languageEnglish
Title of host publicationAdvances in Intelligent Systems and Computing
PublisherSpringer Verlag
Pages25-34
Number of pages10
Volume287
ISBN (Print)9783319076911
DOIs
Publication statusPublished - 2014
Event1st International Conference on Soft Computing and Data Mining, SCDM 2014 - Parit Raja, Batu Pahat
Duration: 16 Jun 201418 Jun 2014

Publication series

NameAdvances in Intelligent Systems and Computing
Volume287
ISSN (Print)21945357

Other

Other1st International Conference on Soft Computing and Data Mining, SCDM 2014
CityParit Raja, Batu Pahat
Period16/6/1418/6/14

Fingerprint

Differential equations
Drug delivery
Integral equations
Signal processing
Physics
Bioengineering

Keywords

  • Drug delivery process
  • Fuzzy fractional differential equations
  • Legendre polynomials
  • Operational matrix

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)

Cite this

Ahmadian, A., Senu, N., Larki, F., Salahshour, S., Suleiman, M., & Islam, M. S. (2014). A legendre approximation for solving a fuzzy fractional drug transduction model into the bloodstream. In Advances in Intelligent Systems and Computing (Vol. 287, pp. 25-34). (Advances in Intelligent Systems and Computing; Vol. 287). Springer Verlag. https://doi.org/10.1007/978-3-319-07692-8_3

A legendre approximation for solving a fuzzy fractional drug transduction model into the bloodstream. / Ahmadian, Ali; Senu, Norazak; Larki, Farhad; Salahshour, Soheil; Suleiman, Mohamed; Islam, Md. Shabiul.

Advances in Intelligent Systems and Computing. Vol. 287 Springer Verlag, 2014. p. 25-34 (Advances in Intelligent Systems and Computing; Vol. 287).

Research output: Chapter in Book/Report/Conference proceedingChapter

Ahmadian, A, Senu, N, Larki, F, Salahshour, S, Suleiman, M & Islam, MS 2014, A legendre approximation for solving a fuzzy fractional drug transduction model into the bloodstream. in Advances in Intelligent Systems and Computing. vol. 287, Advances in Intelligent Systems and Computing, vol. 287, Springer Verlag, pp. 25-34, 1st International Conference on Soft Computing and Data Mining, SCDM 2014, Parit Raja, Batu Pahat, 16/6/14. https://doi.org/10.1007/978-3-319-07692-8_3
Ahmadian A, Senu N, Larki F, Salahshour S, Suleiman M, Islam MS. A legendre approximation for solving a fuzzy fractional drug transduction model into the bloodstream. In Advances in Intelligent Systems and Computing. Vol. 287. Springer Verlag. 2014. p. 25-34. (Advances in Intelligent Systems and Computing). https://doi.org/10.1007/978-3-319-07692-8_3
Ahmadian, Ali ; Senu, Norazak ; Larki, Farhad ; Salahshour, Soheil ; Suleiman, Mohamed ; Islam, Md. Shabiul. / A legendre approximation for solving a fuzzy fractional drug transduction model into the bloodstream. Advances in Intelligent Systems and Computing. Vol. 287 Springer Verlag, 2014. pp. 25-34 (Advances in Intelligent Systems and Computing).
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