• Title of article

    Analytic solution of generalized space time advection-dispersion equation with fractional Laplace operator

  • Author/Authors

    Agarwal ، Ritu - Malaviya National Institute of Technology , Jain ، Sonal - Malaviya National Institute of Technology , Agarwal ، R. P. - Texas A M University

  • Pages
    10
  • From page
    3545
  • To page
    3554
  • Abstract
    The aim of this paper is to investigate the solutions of Time-space fractional advection-dispersion equation with Hilfer composite fractional derivative and the space fractional Laplacian operator. The solution of the equation is obtained by applying the Laplace and Fourier transforms, in terms of Mittag-leffler function. The work by R. K. Saxena (2010) and Haung and Liu (2005) follows as particular case of our results.
  • Keywords
    Time , space fractional advection , dispersion equation , Fourier transform , Laplace transform , Mittag , Leffler function , composite fractional derivative , H , function , fractional Laplace operator
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2016
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2476003

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2476003