Derivative with a New Parameter

Theory, Methods and Applications

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, General Physics
Cover of the book Derivative with a New Parameter by Abdon Atangana, Elsevier Science
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Author: Abdon Atangana ISBN: 9780128038253
Publisher: Elsevier Science Publication: September 18, 2015
Imprint: Academic Press Language: English
Author: Abdon Atangana
ISBN: 9780128038253
Publisher: Elsevier Science
Publication: September 18, 2015
Imprint: Academic Press
Language: English

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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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