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

Badr Saad T. Alkahtani, Abdon Atangana

Results in Physics · 2017

doi:10.1016/j.rinp.2017.11.012 (opens in a new tab)

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Abstract

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

Abstract licence: CC BY-NC

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