Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

Explores the application of fractional operators in groundwater studies

Abdon Atangana (Author)

9780128096703

Hardback, published 22 September 2017

414 pages
23.4 x 19 x 2.6 cm, 0.84 kg

"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

Approx.396 pages

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

Subject Areas: Applied mathematics [PBW]