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

Atangana, Abdon

Academic Press Inc（2017/09発売）

• 製本 Hardcover:ハードカバー版／ページ数 414 p.
• 言語 ENG
• 商品コード 9780128096703

Full Description

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.

Contents

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