Derivative with a New Parameter: Theory, Methods and by Abdon Atangana

By Abdon Atangana

Derivative with a brand new Parameter: idea, equipment and functions discusses the 1st software of the neighborhood by-product that was once performed via Newton for normal physics, and later for different parts of the sciences.

The e-book begins by means of giving a heritage of derivatives, from Newton to Caputo. It then is going directly to introduce the hot parameters for the neighborhood by-product, together with its definition and houses. extra subject matters outline beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, together with their houses, after which pass directly to describe the tactic for partial differential with the beta derivatives.

Subsequent sections provide examples on how neighborhood derivatives with a brand new parameter can be utilized to version varied functions, similar to groundwater stream and assorted illnesses. The publication provides an creation to the newly-established neighborhood spinoff with new parameters, besides their indispensable transforms and purposes, additionally together with nice examples on the way it can be utilized in epidemiology and groundwater studies.

  • Introduce the hot parameters for the neighborhood spinoff, together with its definition and properties
  • Provides examples on how neighborhood derivatives with a brand new parameter can be utilized to version various purposes, similar to groundwater circulation and diversified diseases
  • Includes definitions of beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, their homes, and techniques for partial differential utilizing beta derivatives
  • Explains how the hot parameter can be utilized in a number of tools

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