Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law

The concept of differentiation with the generalized Mittag-Leffler law is used in this paper to construct the model of movement of groundwater pollution with degradation and limited sorption. The fractional differentiation used in the model is in Riemann-Liouville sense. The new model is solved anal...

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Bibliographic Details
Main Authors: Badr Saad T. Alkahtani, Abdon Atangana
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717319836
Description
Summary:The concept of differentiation with the generalized Mittag-Leffler law is used in this paper to construct the model of movement of groundwater pollution with degradation and limited sorption. The fractional differentiation used in the model is in Riemann-Liouville sense. The new model is solved analytically using the Green Laplace transform approach. A numerical scheme is used to obtain the numerical solution of the modified model. Keywords: Movement of groundwater pollution, Plume with degradation, Rate-limited sorption, Atangana-Baleanu derivative in Riemann-Liouville sense
ISSN:2211-3797