AUTHOR=Gill Vinod , Singh Jagdev , Singh Yudhveer 

TITLE=Analytical Solution of Generalized Space-Time Fractional Advection-Dispersion Equation via Coupling of Sumudu and Fourier Transforms

JOURNAL=Frontiers in Physics

VOLUME=6

YEAR=2019

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2018.00151

DOI=10.3389/fphy.2018.00151

ISSN=2296-424X

ABSTRACT=<p>The objective of this article is to present the computable 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.</p>