• Imprecisely defined fractional-order Fokker–Planck equation subjected to fuzzy uncertainty

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      https://www.ias.ac.in/article/fulltext/pram/095/0013

    • Keywords

       

      Triangular fuzzy number; Gaussian fuzzy number; r-cut; double parametric form; Fokker–Planck equation; variational iteration method

    • Abstract

       

      Fokker–Planck equation with interval and fuzzy uncertainty has been considered in this paper. Also the derivatives involved with respect to time and space are assumed to be fractional in nature. This problem has been solved using variational iteration method (VIM) along with the double parametric form of fuzzy numbers. For the analysis, both triangular and Gaussian normalised fuzzy sets are taken into consideration. Numerical results for different cases have been obtained and those are depicted in terms of plots and are also compared in special cases for the validation. Moreover, using an important method known as successive approximation method, it has also been verified that the obtained solutions are the same as that of VIM as both methods are equivalent.

    • Author Affiliations

       

      SMITA TAPASWINI1 DIPTIRANJAN BEHERA2

      1. Department of Mathematics, Government Autonomous College, Angul 759 143, India
      2. Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, Jamaica
    • Dates

       
  • Pramana – Journal of Physics | News

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