Read Generalized Functions for the Fractional Calculus

Generalized Functions for the Fractional Calculus

Carl F. Lorenzo

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Description:Previous papers have used two important functions for the solution of fractional order differential equations. These functions provided direct solution and important understanding for the fundamental linear fractional order differential equation and for the related initial value problem. This paper examines related functions and their Laplace transforms. Presented for consideration are two generalized functions, the R-function and the G-function, useful in analysis and as a basis for computation in the fractional calculus. The R-function is unique in that it contains all of the derivatives and integrals of the F-function. The R-function also returns itself on qth order differ-integration. An example application of the R-function is provided. A further generalization of the R-function, called the G-function brings in the effects of repeated and partially repeated fractional poles.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Generalized Functions for the Fractional Calculus. To get started finding Generalized Functions for the Fractional Calculus, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 24

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: 1999

ISBN: Av4UAQAAIAAJ

Description: Previous papers have used two important functions for the solution of fractional order differential equations. These functions provided direct solution and important understanding for the fundamental linear fractional order differential equation and for the related initial value problem. This paper examines related functions and their Laplace transforms. Presented for consideration are two generalized functions, the R-function and the G-function, useful in analysis and as a basis for computation in the fractional calculus. The R-function is unique in that it contains all of the derivatives and integrals of the F-function. The R-function also returns itself on qth order differ-integration. An example application of the R-function is provided. A further generalization of the R-function, called the G-function brings in the effects of repeated and partially repeated fractional poles.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Generalized Functions for the Fractional Calculus. To get started finding Generalized Functions for the Fractional Calculus, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Generalized Functions for the Fractional Calculus

Generalized Functions for the Fractional Calculus

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