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

Released on by Abdon Atangana
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  • Fractional Operators with Constant and Variable Order with Application to Geo-hydrology Book Detail

  • Author : Abdon Atangana
  • Release Date : 2017-09-19
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 416
  • ISBN 13 : 0128097965
  • File Size : 7,7 MB
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Fractional Operators with Constant and Variable Order with Application to Geo-hydrology by Abdon Atangana PDF Summary

Book 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. - 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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