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

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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  • Author : Abdon Atangana
  • Publisher : Academic Press
  • Pages : 414 pages
  • ISBN : 0128097965
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFractional Operators with Constant and Variable Order with Application to Geo hydrology

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 : 19 September 2017
GET THIS BOOKFractional Operators with Constant and Variable Order with Application to Geo-hydrology

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,

Numerical Methods for Fractional Differentiation

Numerical Methods for Fractional Differentiation
  • Author : Kolade M. Owolabi,Abdon Atangana
  • Publisher : Springer
  • Release : 07 November 2020
GET THIS BOOKNumerical Methods for Fractional Differentiation

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 power law, known as Riemann–Liouville fractional operators, and those for the generalized Mittag–Leffler function, known as the Atangana–Baleanu fractional operators. The book reviews existing numerical schemes associated

Fractional Derivatives with Mittag-Leffler Kernel

Fractional Derivatives with Mittag-Leffler Kernel
  • Author : José Francisco Gómez,Lizeth Torres,Ricardo Fabricio Escobar
  • Publisher : Springer
  • Release : 13 February 2019
GET THIS BOOKFractional Derivatives with Mittag-Leffler Kernel

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 of science and engineering, such as chemistry, mechanics, epidemiology and more. It is intended as a timely guide and source of inspiration for graduate students and researchers in the above-mentioned

The Variable-Order Fractional Calculus of Variations

The Variable-Order Fractional Calculus of Variations
  • Author : Ricardo Almeida,Dina Tavares,Delfim F. M. Torres
  • Publisher : Springer
  • Release : 29 June 2018
GET THIS BOOKThe Variable-Order Fractional Calculus of Variations

​The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. The contributors consider

Fractional Differential Equations

Fractional Differential Equations
  • Author : Igor Podlubny
  • Publisher : Elsevier
  • Release : 27 October 1998
GET THIS BOOKFractional Differential Equations

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical

Water Resource Systems Planning and Management

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  • Author : Daniel P. Loucks,Eelco van Beek
  • Publisher : Springer
  • Release : 02 March 2017
GET THIS BOOKWater Resource Systems Planning and Management

This book is open access under a CC BY-NC 4.0 license. This revised, updated textbook presents a systems approach to the planning, management, and operation of water resources infrastructure in the environment. Previously published in 2005 by UNESCO and Deltares (Delft Hydraulics at the time), this new edition, written again with contributions from Jery R. Stedinger, Jozef P. M. Dijkman, and Monique T. Villars, is aimed equally at students and professionals. It introduces readers to the concept of viewing issues involving water

Water Quality Assessments

Water Quality Assessments
  • Author : Deborah V Chapman
  • Publisher : CRC Press
  • Release : 22 August 1996
GET THIS BOOKWater Quality Assessments

This guidebook, now thoroughly updated and revised in its second edition, gives comprehensive advice on the designing and setting up of monitoring programmes for the purpose of providing valid data for water quality assessments in all types of freshwater bodies. It is clearly and concisely written in order to provide the essential information for all agencies and individuals responsible for the water quality.

Modeling and Analysis of Modern Fluid Problems

Modeling and Analysis of Modern Fluid Problems
  • Author : Liancun Zheng,Xinxin Zhang
  • Publisher : Academic Press
  • Release : 26 April 2017
GET THIS BOOKModeling and Analysis of Modern Fluid Problems

Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature

Out Of Control

Out Of Control
  • Author : Kevin Kelly
  • Publisher : Basic Books
  • Release : 30 April 2009
GET THIS BOOKOut Of Control

Out of Control chronicles the dawn of a new era in which the machines and systems that drive our economy are so complex and autonomous as to be indistinguishable from living things.

Fractional Calculus for Hydrology, Soil Science and Geomechanics

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  • Author : Ninghu Su
  • Publisher : CRC Press
  • Release : 02 November 2020
GET THIS BOOKFractional Calculus for Hydrology, Soil Science and Geomechanics

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 water flow and solute transport in porous media and overland, and in some cases, to concurrent flow and energy transfer. It is an integrated resource with theory and applications for

Sensitivity Analysis in Practice

Sensitivity Analysis in Practice
  • Author : Andrea Saltelli,Stefano Tarantola,Francesca Campolongo,Marco Ratto
  • Publisher : John Wiley & Sons
  • Release : 16 July 2004
GET THIS BOOKSensitivity Analysis in Practice

Sensitivity analysis should be considered a pre-requisite for statistical model building in any scientific discipline where modelling takes place. For a non-expert, choosing the method of analysis for their model is complex, and depends on a number of factors. This book guides the non-expert through their problem in order to enable them to choose and apply the most appropriate method. It offers a review of the state-of-the-art in sensitivity analysis, and is suitable for a wide range of practitioners. It

Hydrodynamics and Water Quality

Hydrodynamics and Water Quality
  • Author : Zhen-Gang Ji
  • Publisher : John Wiley & Sons
  • Release : 09 May 2017
GET THIS BOOKHydrodynamics and Water Quality

The primary reference for the modeling of hydrodynamics and water quality in rivers, lake, estuaries, coastal waters, and wetlands This comprehensive text perfectly illustrates the principles, basic processes, mathematical descriptions, case studies, and practical applications associated with surface waters. It focuses on solving practical problems in rivers, lakes, estuaries, coastal waters, and wetlands. Most of the theories and technical approaches presented within have been implemented in mathematical models and applied to solve practical problems. Throughout the book, case studies are

Safe Management of Wastes from Health-care Activities

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  • Author : World Health Organization
  • Publisher : World Health Organization
  • Release : 09 May 2021
GET THIS BOOKSafe Management of Wastes from Health-care Activities

This is the second edition of the WHO handbook on the safe, sustainable and affordable management of health-care waste--commonly known as "the Blue Book". The original Blue Book was a comprehensive publication used widely in health-care centers and government agencies to assist in the adoption of national guidance. It also provided support to committed medical directors and managers to make improvements and presented practical information on waste-management techniques for medical staff and waste workers. It has been more than ten

Advances in Numerical Methods

Advances in Numerical Methods
  • Author : Nikos Mastorakis,John Sakellaris
  • Publisher : Springer Science & Business Media
  • Release : 09 July 2009
GET THIS BOOKAdvances in Numerical Methods

Recent Advances in Numerical Methods features contributions from distinguished researchers, focused on significant aspects of current numerical methods and computational mathematics. The increasing necessity to present new computational methods that can solve complex scientific and engineering problems requires the preparation of this volume with actual new results and innovative methods that provide numerical solutions in effective computing times. Each chapter will present new and advanced methods and modern variations on known techniques that can solve difficult scientific problems efficiently.