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

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
Main Authors: Vinod Gill, Jagdev Singh, Yudhveer Singh
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-01-01
Series:Frontiers in Physics
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

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