Derivative with a New Parameter

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 on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, including their properties, and then go on to describe the method for partial differential with the beta derivatives. Subsequent sections give examples on how local derivatives with a new parameter can be used to model different applications, such as groundwater flow and different diseases. The book gives an introduction to the newly-established local derivative with new parameters, along with their integral transforms and applications, also including great examples on how it can be used in epidemiology and groundwater studies. Introduce the new parameters for the local derivative, including its definition and properties Provides examples on how local derivatives with a new parameter can be used to model different applications, such as groundwater flow and different diseases Includes definitions of beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, their properties, and methods for partial differential using beta derivatives Explains how the new parameter can be used in multiple methods

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  • Author : Abdon Atangana
  • Publisher : Academic Press
  • Pages : 170 pages
  • ISBN : 012803825X
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKDerivative with a New Parameter

Derivative with a New Parameter

Derivative with a New Parameter
  • Author : Abdon Atangana
  • Publisher : Academic Press
  • Release : 18 September 2015
GET THIS BOOKDerivative with a New Parameter

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 on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, including their properties, and then

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

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,

Theory and Applications of Non-integer Order Systems

Theory and Applications of Non-integer Order Systems
  • Author : Artur Babiarz,Adam Czornik,Jerzy Klamka,Michał Niezabitowski
  • Publisher : Springer
  • Release : 15 September 2016
GET THIS BOOKTheory and Applications of Non-integer Order Systems

This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016

Special Functions and Analysis of Differential Equations

Special Functions and Analysis of Differential Equations
  • Author : Praveen Agarwal,Ravi P Agarwal,Michael Ruzhansky
  • Publisher : CRC Press
  • Release : 08 September 2020
GET THIS BOOKSpecial Functions and Analysis of Differential Equations

Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new

Mathematical Modelling in Health, Social and Applied Sciences

Mathematical Modelling in Health, Social and Applied Sciences
  • Author : Hemen Dutta
  • Publisher : Springer Nature
  • Release : 29 February 2020
GET THIS BOOKMathematical Modelling in Health, Social and Applied Sciences

This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear

Numerical Methods for Fractional Differentiation

Numerical Methods for Fractional Differentiation
  • Author : Kolade M. Owolabi,Abdon Atangana
  • Publisher : Springer Nature
  • Release : 14 October 2019
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

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 : 14 March 2019
GET THIS BOOKMathematics Applied to Engineering, Modelling, and Social Issues

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 area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those

Derivative with a New Parameter

Derivative with a New Parameter
  • Author : Abdon Atangana
  • Publisher : Academic Press
  • Release : 10 September 2015
GET THIS BOOKDerivative with a New Parameter

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 on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, including their properties, and then

Diffuse Scattering and Defect Structure Simulations

Diffuse Scattering and Defect Structure Simulations
  • Author : Reinhard B. Neder,Thomas Proffen
  • Publisher : OUP Oxford
  • Release : 20 November 2008
GET THIS BOOKDiffuse Scattering and Defect Structure Simulations

In recent years it has become apparent that knowing the average atomic structure of materials is insufficient to understand their properties. Diffuse scattering in addition to the Bragg scattering holds the key to learning about defects in materials, the topic of many recent books. What has been missing is a detailed step-by-step guide how to simulate disordered materials. The DISCUS cook book fills this need covering simple topics such as building a computer crystal to complex topic such as domain

Computer Vision, Virtual Reality and Robotics in Medicine

Computer Vision, Virtual Reality and Robotics in Medicine
  • Author : Nicholas Ayache
  • Publisher : Springer Science & Business Media
  • Release : 20 March 1995
GET THIS BOOKComputer Vision, Virtual Reality and Robotics in Medicine

This book contains the written contributions to the program of the First In ternational Conference on Computer Vision, Virtual Reality, and Robotics in Medicine (CVRMed'95) held in Nice during the period April 3-6, 1995. The articles are regrouped into a number of thematic sessions which cover the three major topics of the field: medical image understanding, registration problems in medicine, and therapy planning, simulation and control. The objective of the conference is not only to present the most innovative and promising

Mathematical Modelling in Biomedicine

Mathematical Modelling in Biomedicine
  • Author : Vitaly Volpert
  • Publisher : MDPI
  • Release : 26 January 2021
GET THIS BOOKMathematical Modelling in Biomedicine

Mathematical modelling in biomedicine is a rapidly developing scientific discipline at the intersection of medicine, biology, mathematics, physics, and computer science. Its progress is stimulated by fundamental scientific questions and by the applications to public health. This book represents a collection of papers devoted to mathematical modelling of various physiological problems in normal and pathological conditions. It covers a broad range of topics including cardiovascular system and diseases, heart and brain modelling, tumor growth, viral infections, and immune response. Computational

Control of Distributed Parameter Systems 1989

Control of Distributed Parameter Systems 1989
  • Author : M. Amouroux,A. El Jai
  • Publisher : Elsevier
  • Release : 28 June 2014
GET THIS BOOKControl of Distributed Parameter Systems 1989

This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.

Dynamical Systems X

Dynamical Systems X
  • Author : Victor V. Kozlov
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2013
GET THIS BOOKDynamical Systems X

This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. In addition, it details some interesting applications of the general theory of vortices, such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics.

Mathematical Analysis of Groundwater Flow Models

Mathematical Analysis of Groundwater Flow Models
  • Author : Abdon Atangana
  • Publisher : CRC Press
  • Release : 28 February 2022
GET THIS BOOKMathematical Analysis of Groundwater Flow Models

This book provides comprehensive analysis of a number of groundwater issues, ranging from flow to pollution problems. Several scenarios are considered throughout, including flow in leaky, unconfined, and confined geological formations, crossover flow behavior from confined to confined, to semi-confined to unconfined and groundwater pollution in dual media. Several mathematical concepts are employed to include into the mathematical models’ complexities of the geological formation, including classical differential operators, fractional derivatives and integral operators, fractal mapping, randomness, piecewise differential, and integral