"This book provides a physical review of fractional operators, fractional-order operators, and uncertain derivatives within the context of 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 noninteger-order derivatives. The book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution." --Zentralblatt MATH
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.
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1. Aquifers and their properties2. Principle of groundwater flow3. Groundwater pollution4. Limitations of groundwater models with local derivative5. Fractional operators and their applications6. Regularity of a general parabolic equation with fractional differentiation7. Applications of fractional operators to groundwater models8. Models of groundwater pollution with fractional operators9. Fractional variable order derivatives10. Groundwater fractal flow model with Atangana-Baleanu fractional operators11. Growndwater flowing within a fracture and matrix rock12. Modeling groundwater pollution with variable order derivatives13. Groundwater recharge model with fractional differentiation14. Atangana derivative with memory and application
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Explores the application of fractional operators in groundwater studies
Explores the application of fractional operators in groundwater studies
Proposes new aquifer derivatives for leaky, confined and unconfined formations
Presents useful aids for applied scientists and engineers seeking to solve complex problems that cannot be handled using constant fractional order derivatives
Provides a real physical interpretation of operators relevant to groundwater flow problems
Models both fractional and variable order derivatives, presented together with uncertainties analysis
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Produktdetaljer
ISBN
9780128096703
Publisert
2017-09-22
Utgiver
Vendor
Academic Press Inc
Vekt
840 gr
Høyde
235 mm
Bredde
191 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
414
Forfatter