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
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
Journal title :
Journal of Nonlinear Science and Applications
