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


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.


Fuzzy fractional differential equations Drug delivery process Legendre polynomials Operational matrix 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ali Ahmadian
    • 1
  • Norazak Senu
    • 1
  • Farhad Larki
    • 2
  • Soheil Salahshour
    • 3
  • Mohamed Suleiman
    • 1
  • Md. Shabiul Islam
    • 2
  1. 1.Institute for Mathematical Research (INSPEM)Universiti Putra Malaysia, UPMSerdangMalaysia
  2. 2.Institute of Microengineering and Nanoelectronics (IMEN)Universiti Kebangsan Malaysia (UKM)BangiMalaysia
  3. 3.Young Researchers and Elite Club, Mobarakeh BranchIslamic Azad UniversityMobarakehIran

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