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

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 Su...

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Bibliographic Details

Published in:	Frontiers in Physics
Main Authors:	Vinod Gill, Jagdev Singh, Yudhveer Singh
Format:	Article
Language:	English
Published:	Frontiers Media S.A. 2019-01-01
Subjects:	space-time fractional advection-dispersion equation Fourier transforms Sumudu transforms Hilfer-Prabhakar fractional derivative fractional laplacian operator Mittag-Leffler function
Online Access:	https://www.frontiersin.org/article/10.3389/fphy.2018.00151/full