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

Written By Abdon Atangana
Fractional Operators with Constant and Variable Order with Application to Geo hydrology
  • Publsiher : Academic Press
  • Release : 19 September 2017
  • ISBN : 0128097965
  • Pages : 414 pages
  • Rating : 4/5 from 21 reviews
GET THIS BOOKFractional Operators with Constant and Variable Order with Application to Geo hydrology


Read or download book entitled Fractional Operators with Constant and Variable Order with Application to Geo hydrology written by Abdon Atangana which was release on 19 September 2017, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

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

Fractional Operators with Constant and Variable Order with Application to Geo hydrology
  • Author : Abdon Atangana
  • Publisher : Academic Press
  • Release Date : 2017-09-19
  • Total pages : 414
  • ISBN : 0128097965
GET BOOK

Summary : 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 ...

Fractional Calculus for Hydrology Soil Science and Geomechanics

Fractional Calculus for Hydrology  Soil Science and Geomechanics
  • Author : Ninghu Su
  • Publisher : CRC Press
  • Release Date : 2020-11-02
  • Total pages : 340
  • ISBN : 0128097965
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Summary : This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The models are primarily fractional partial differential equations (fPDEs), and in limited cases, fractional differential equations (fDEs). It develops and applies relevant fPDEs and fDEs mainly to ...

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  • Publisher : Springer
  • Release Date : 2019-02-13
  • Total pages : 341
  • ISBN : 0128097965
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Summary : This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel. The different contributions, written by applied mathematicians, physicists and engineers, offers a snapshot of recent research in the field, highlighting the current methodological frameworks together with applications in different fields ...

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  • Publisher : John Wiley & Sons
  • Release Date : 2020-08-06
  • Total pages : 336
  • ISBN : 0128097965
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Summary : A guide to the new research in the field of fractional order analysis Fractional Order Analysis contains the most recent research findings in fractional order analysis and its applications. The authors—noted experts on the topic—offer an examination of the theory, methods, applications, and the modern tools and techniques ...

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  • Publisher : CRC Press
  • Release Date : 2019-09-16
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  • ISBN : 0128097965
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Summary : This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems ...

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  • Publisher : Springer
  • Release Date : 2019-03-14
  • Total pages : 699
  • ISBN : 0128097965
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Summary : This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an ...

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  • ISBN : 0128097965
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Summary : This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other ...

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  • Author : Kolade M. Owolabi,Abdon Atangana
  • Publisher : Springer Nature
  • Release Date : 2019-10-14
  • Total pages : 328
  • ISBN : 0128097965
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Summary : This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral operators presented in the book include those with exponential decay law, known as Caputo–Fabrizio differential and integral operators, those with ...

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  • Publisher : Springer Nature
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  • Total pages : 212
  • ISBN : 0128097965
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Summary : Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications ...

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  • Publisher : Springer Nature
  • Release Date : 2021-06-28
  • Total pages : 1040
  • ISBN : 0128097965
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Summary : This book gathers selected research papers presented at the International Conference on Communication and Intelligent Systems (ICCIS 2020), organized jointly by Birla Institute of Applied Sciences, Uttarakhand, and Soft Computing Research Society during 26–27 December 2020. This book presents a collection of state-of-the-art research work involving cutting-edge technologies for communication and intelligent systems. ...

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  • Publisher : BoD – Books on Demand
  • Release Date : 2021-08-18
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  • ISBN : 0128097965
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Summary : Written by authoritative experts in the field, this book discusses fluid flow and transport phenomena in porous media. Portions of the book are devoted to interpretations of experimental results in this area and directions for future research. It is a useful reference for applied mathematicians and engineers, especially those working ...

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  • Author : Abdon Atangana,Seda Igret Araz
  • Publisher : Academic Press
  • Release Date : 2021-06-10
  • Total pages : 460
  • ISBN : 0128097965
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Summary : New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications provides a detailed discussion on the underpinnings of the theory, methods and real-world applications of this numerical scheme. The book's authors explore how this efficient and accurate numerical scheme is useful for solving partial and ordinary differential equations, as well ...