Derivative With A New Parameter: Theory, Methods And Applications

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    Derivative with a New Parameter: Theory, Methods and Applications
    By: Atangana, Abdon
    Publisher:
    Academic Press
    Print ISBN: 9780081006443, 0081006446
    eText ISBN: 9780081006443, 9780128038253, 012803825X
    Pages: 170
    Format: EPUB
    Available from $ 74.95 USD
    SKU 9780081006443
    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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