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


Authors

Ritu Agarwal - Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India. Sonal Jain - Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India. R. P. Agarwal - Department of Mathematics, Texas A & M University, Kingsville 700 University Blvd. Kingsville, TX 78363-8202.


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.


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