Abdon Atangana

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

• 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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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 414
• Erscheinungstermin: 19. September 2017
• Englisch
• ISBN-13: 9780128097960
• Artikelnr.: 49272054

Autorenporträt

Dr. Atangana is Academic Head of Department and Professor of Applied Mathematics at the University of the Free State, Bloemfontein, Republic of South Africa. He obtained his honours and master's degrees from the Department of Applied Mathematics at the UFS with distinction. He obtained his PhD in applied mathematics from the Institute for Groundwater Studies.

He serves as an editor for 20 international journals and lead guest editor in 10 journals and is also a reviewer of more than 200 international accredited journals. His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling.

Prof Atangana is the founder of fractional calculus with non-local and non-singular kernels popular in applied mathematics today. Since 2013, he has published in 250 international accredited journals of applied mathematics, applied physics, geo-hydrology and biomathematics. He is also the single author of two books in Academic Press Elsevier and a co-author of a book published in springer and author of more than 20 chapters in books. He has graduated 7 PhD and 20 masters students, and 6 postdoc fellows.

Inhaltsangabe

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