Analytical solutions for the fractional diffusion-advection equation describing super-diffusion

Analytical solutions for the fractional diffusion-advection equation describing super-diffusion

This paper presents the alternative construction of the diffusion-advection equation in the range (1; 2). The fractional derivative of the Liouville-Caputo type is applied. Analytical solutions are obtained in terms of Mittag-Leffler functions. In the range (1; 2) the concentration exhibits the supe...

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Bibliographic Details
Main Authors: Gómez Francisco, Escalante Enrique, Calderón Celia, Morales Luis, González Mario, Laguna Rodrigo
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Physics
Subjects:
fractional calculus
non-local transport processes
caputo fractional derivative
dissipative dynamics
fractional advection-diffusion equation
45.10.hj
02.30.jr
05.70.-a
05.60.-k
Online Access:https://doi.org/10.1515/phys-2016-0074

Internet

https://doi.org/10.1515/phys-2016-0074

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