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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-01-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379717319836 |
| _version_ | 1828378423402168320 |
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| author | Badr Saad T. Alkahtani Abdon Atangana |
| author_facet | Badr Saad T. Alkahtani Abdon Atangana |
| author_sort | Badr Saad T. Alkahtani |
| collection | DOAJ |
| description | 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 |
| first_indexed | 2024-04-14T08:26:41Z |
| format | Article |
| id | doaj.art-05a64c69acfb44c6a8e1ea69340b17cf |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-14T08:26:41Z |
| publishDate | 2017-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-05a64c69acfb44c6a8e1ea69340b17cf2022-12-22T02:04:01ZengElsevierResults in Physics2211-37972017-01-01743984404Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler lawBadr Saad T. Alkahtani0Abdon Atangana1Institute for Groundwater Studies, Faculty of Natural and Agricultural Science, University of Free State, 9300 Bloemfontein, South Africa; Department of Mathematics, Colleges of Sciences, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi ArabiaCorresponding author.; Institute for Groundwater Studies, Faculty of Natural and Agricultural Science, University of Free State, 9300 Bloemfontein, South Africa; Department of Mathematics, Colleges of Sciences, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi ArabiaThe 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 sensehttp://www.sciencedirect.com/science/article/pii/S2211379717319836 |
| spellingShingle | Badr Saad T. Alkahtani Abdon Atangana Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law Results in Physics |
| title | Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law |
| title_full | Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law |
| title_fullStr | Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law |
| title_full_unstemmed | Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law |
| title_short | Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law |
| title_sort | generalized groundwater plume with degradation and rate limited sorption model with mittag leffler law |
| url | http://www.sciencedirect.com/science/article/pii/S2211379717319836 |
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