Fractional operators with constant and variable order with application to geo-hydrology 1st edition
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Fractional operators with constant and variable order with application to geo-hydrology 1st edition – Ebook Instant Download/Delivery ISBN(s): 9780128096703,0128096705,9780128097960, 0128097965
Product details:
- ISBN 10: 0128097965
- ISBN 13:9780128097960
- Author: Abdon Atangana
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 book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution.
Table contents:
1. Aquifers and their properties
2. Principle of groundwater flow
3. Groundwater pollution
4. Limitations of groundwater models with local derivative
5. Fractional operators and their applications
6. Regularity of a general parabolic equation with fractional differentiation
7. Applications of fractional operators to groundwater models
8. Models of groundwater pollution with fractional operators
9. Fractional variable order derivatives
10. Groundwater fractal flow model with Atangana-Baleanu fractional operators
11. Growndwater flowing within a fracture and matrix rock
12. Modeling groundwater pollution with variable order derivatives
13. Groundwater recharge model with fractional differentiation
14. Atangana derivative with memory and application
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