Two Approaches to Obtaining the Space-Time Fractional Advection-Diffusion Equation
Open Access
- 23 June 2017
- Vol. 19 (7), 297
- https://doi.org/10.3390/e19070297
Abstract
Two approaches resulting in two different generalizations of the space-time-fractional advection-diffusion equation are discussed. The Caputo time-fractional derivative and Riesz fractional Laplacian are used. The fundamental solutions to the corresponding Cauchy and source problems in the case of one spatial variable are studied using the Laplace transform with respect to time and the Fourier transform with respect to the spatial coordinate. The numerical results are illustrated graphically.This publication has 53 references indexed in Scilit:
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