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A Legendre Approximation for Solving a Fuzzy Fractional Drug Transduction Model into the Bloodstream

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Recent Advances on Soft Computing and Data Mining

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 287))

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 pharmacokinetics-pharmacodynamic (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.

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Author information

Authors and Affiliations

  1. Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, UPM, 43400, Serdang, Selangor, Malaysia

    Ali Ahmadian, Norazak Senu & Mohamed Suleiman

  2. Institute of Microengineering and Nanoelectronics (IMEN), Universiti Kebangsan Malaysia (UKM), 43600 UKM, Bangi, Selangor, Malaysia

    Farhad Larki & Md. Shabiul Islam

  3. Young Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran

    Soheil Salahshour

Authors
  1. Ali Ahmadian
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  2. Norazak Senu
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  3. Farhad Larki
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  4. Soheil Salahshour
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  5. Mohamed Suleiman
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  6. Md. Shabiul Islam
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Corresponding author

Correspondence to Ali Ahmadian .

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Editors and Affiliations

  1. Department of Information System Faculty of Comp. Sci. & Info. Tech., University of Malaya, Kuala Lumpur, Malaysia

    Tutut Herawan

  2. Faculty of Comp. Sci. and Info. Tech, Universiti Tun Hussein Onn Malaysia, Parit Raja, Malaysia

    Rozaida Ghazali

  3. Faculty of Comp. Sci. and Info. Tech., Universiti Tun Hussein Onn Malaysia, Parit Raja, Malaysia

    Mustafa Mat Deris

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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: Herawan, T., Ghazali, R., Deris, M. (eds) Recent Advances on Soft Computing and Data Mining. Advances in Intelligent Systems and Computing, vol 287. Springer, Cham. https://doi.org/10.1007/978-3-319-07692-8_3

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  • DOI: https://doi.org/10.1007/978-3-319-07692-8_3

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07691-1

  • Online ISBN: 978-3-319-07692-8

  • eBook Packages: EngineeringEngineering (R0)

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