%A Gill,Vinod
%A Singh,Jagdev
%A Singh,Yudhveer
%D 2019
%J Frontiers in Physics
%C
%F
%G English
%K Space-time fractional advection-dispersion equation,Fourier Transform,Sumudu transform and fourier transform,Hilfer-Prabhakar fractional derivative,Fractional Laplacian operator,Mittag-Leffler function
%Q
%R 10.3389/fphy.2018.00151
%W
%L
%N 151
%M
%P
%7
%8 2019-January-08
%9 Original Research
%#
%! Analytical solution of generalized space-time fractional advection-dispersion equation
%*
%<
%T Analytical Solution of Generalized Space-Time Fractional Advection-Dispersion Equation via Coupling of Sumudu and Fourier Transforms
%U https://www.frontiersin.org/article/10.3389/fphy.2018.00151
%V 6
%0 JOURNAL ARTICLE
%@ 2296-424X
%X The objective of this article is to present the computational solution of space-time advection-dispersion equation of fractional order associated with Hilfer-Prabhakar fractional derivative operator as well as fractional Laplace operator. The method followed in deriving the solution is that of joint Sumudu and Fourier transforms. The solution is derived in compact and graceful forms in terms of the generalized Mittag-Leffler function, which is suitable for numerical computation. Some illustration and special cases of main theorem are also discussed.