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Record Nr. |
UNINA9910583004703321 |
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Autore |
Atangana Abdon |
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Titolo |
Fractional operators with constant and variable order with application to geo-hydrology / / Abdon Atangana |
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Pubbl/distr/stampa |
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London, England : , : Academic Press, , 2018 |
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©2018 |
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ISBN |
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Descrizione fisica |
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1 online resource (416 pages) : illustrations (some color), tables |
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Disciplina |
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Soggetti |
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Groundwater |
Groundwater flow - Mathematical models |
Fractional calculus |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Aquifers and their properties -- Principle of groundwater flow -- Groundwater pollution -- Limitations of groundwater models with local derivative -- Fractional operators and their applications -- Regularity of a general parabolic equation with fractional differentiation -- Applications of fractional operators to groundwater models -- Models of groundwater pollution with fractional operators -- Fractional variable order derivatives -- Groundwater flow model in self-similar aquifer with Atangana-Baleanu fractional operators -- Groundwater flow within a fracture, matrix rock and leaky aquifers: fractal geometry -- Modeling groundwater pollution with variable order derivatives -- Groundwater recharge model with fractional differentiation -- Atangana derivative with memory and application. |
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Sommario/riassunto |
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Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional operators, fractional variable order operators, and uncertain derivatives to groundwater flow and environmental remediation. It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed. Based on the author's analyses, the |
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