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
GET BOOK

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 ...

Fractional Derivatives with Mittag Leffler Kernel

Fractional Derivatives with Mittag Leffler Kernel
  • Author : José Francisco Gómez,Lizeth Torres,Ricardo Fabricio Escobar
  • Publisher : Springer
  • Release Date : 2019-02-13
  • Total pages : 341
  • ISBN : 0128097965
GET BOOK

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 ...

Fractional Order Analysis

Fractional Order Analysis
  • Author : Hemen Dutta,Ahmet Ocak Akdemir,Abdon Atangana
  • Publisher : John Wiley & Sons
  • Release Date : 2020-08-06
  • Total pages : 336
  • ISBN : 0128097965
GET BOOK

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 ...

Methods of Mathematical Modelling

Methods of Mathematical Modelling
  • Author : Harendra Singh,Devendra Kumar,Dumitru Baleanu
  • Publisher : CRC Press
  • Release Date : 2019-09-16
  • Total pages : 238
  • ISBN : 0128097965
GET BOOK

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 ...

Mathematics Applied to Engineering Modelling and Social Issues

Mathematics Applied to Engineering  Modelling  and Social Issues
  • Author : Frank T. Smith,Hemen Dutta,John N. Mordeson
  • Publisher : Springer
  • Release Date : 2019-03-14
  • Total pages : 699
  • ISBN : 0128097965
GET BOOK

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 ...

Basic Theory

Basic Theory
  • Author : Anatoly Kochubei,Yuri Luchko
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2019-02-19
  • Total pages : 489
  • ISBN : 0128097965
GET BOOK

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 ...

Numerical Methods for Fractional Differentiation

Numerical Methods for Fractional Differentiation
  • Author : Kolade M. Owolabi,Abdon Atangana
  • Publisher : Springer Nature
  • Release Date : 2019-10-14
  • Total pages : 328
  • ISBN : 0128097965
GET BOOK

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 ...

Communication and Intelligent Systems

Communication and Intelligent Systems
  • Author : Harish Sharma,Mukesh Kumar Gupta,Geetam Tomar,Wang Lipo
  • Publisher : Springer Nature
  • Release Date : 2021
  • Total pages : 212
  • ISBN : 0128097965
GET BOOK

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 ...

Porous Fluids

Porous Fluids
  • Author : Vallampati Ramachandra Prasad
  • Publisher : BoD – Books on Demand
  • Release Date : 2021-08-18
  • Total pages : 132
  • ISBN : 0128097965
GET BOOK

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 ...

New Numerical Scheme with Newton Polynomial

New Numerical Scheme with Newton Polynomial
  • Author : Abdon Atangana,Seda Igret Araz
  • Publisher : Academic Press
  • Release Date : 2021-06-10
  • Total pages : 460
  • ISBN : 0128097965
GET BOOK

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 ...

Derivative with a New Parameter

Derivative with a New Parameter
  • Author : Abdon Atangana
  • Publisher : Academic Press
  • Release Date : 2015-09-18
  • Total pages : 170
  • ISBN : 0128097965
GET BOOK

Summary : Derivative with a New Parameter: Theory, Methods and Applications discusses the first application of the local derivative that was done by Newton for general physics, and later for other areas of the sciences. The book starts off by giving a history of derivatives, from Newton to Caputo. It then goes ...

Current Index to Statistics Applications Methods and Theory

Current Index to Statistics  Applications  Methods and Theory
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1987
  • Total pages : 212
  • ISBN : 0128097965
GET BOOK

Summary : The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields....

Journal of the Indian Institute of Science

Journal of the Indian Institute of Science
  • Author : Indian Institute of Science, Bangalore
  • Publisher : Unknown
  • Release Date : 1980
  • Total pages : 212
  • ISBN : 0128097965
GET BOOK

Summary : Download or read online Journal of the Indian Institute of Science written by Indian Institute of Science, Bangalore, published by which was released on 1980. Get Journal of the Indian Institute of Science Books now! Available in PDF, ePub and Kindle....

Government reports annual index

Government reports annual index
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 199?
  • Total pages : 212
  • ISBN : 0128097965
GET BOOK

Summary : Download or read online Government reports annual index written by , published by which was released on 199?. Get Government reports annual index Books now! Available in PDF, ePub and Kindle....