# Fractional Calculus & Integral Transforms of Generalized Functions (Research Notes in Mathematics) download ebook

## by **Adam C. McBride,A. C. McBride**

Publisher: Pitman Publishing (UK) (December 1979). ISBN-13: 978-0273084150. Shipping Weight: . pounds (View shipping rates and policies). Tell the Publisher! I'd like to read this book on Kindle.

Marichev: Fractional Integrals and Derivatives,: Theory and Applications, Gordon and Breach, Amsterdam 1993.

In this paper we define the Kμ- transformation on certain spaces of generalized functions introduced by . McBride by employing the kernel method.

McBride by employing the kernel method. we also establish relations between the generalized Kμ- transformation and certain fractional integral operators. In this paper we define the Kμ- transformation on certain spaces of generalized functions introduced by .

This book is concerned with the study of certain spaces of generalized functions and their application to the theory of integral transforms defined on the positive real axis.

McBride A. C. This book is concerned with the study of certain spaces of generalized functions and their application to the theory of integral transforms defined on the . This book is concerned with the study of certain spaces of generalized functions and their application to the theory of integral transforms defined on the positive real axis. Dr. McBride has purposely chosen to study only a few operators in considerable detail rather than hurriedly rushing over a larger number of transforms for which his results are applicable, and has used as a unifying theme the operators of fractional integration.

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M. Saigo, On generalized fractional calculus operators, in Recent Advances in Applied Mathematics, pp. 441–450, Kuwait University, Kuwait, 1996. View at Google Scholar. M. Saigo and N. Maeda, More generalization of fractional calculus, in Transform Methods & Special Functions, pp. 386–400, IMI-BAS, Sofia, Bulgaria, 1998. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet.

Generalized fractional calculus and applications (no Introduction). Fractional Integrals and Derivatives: Theory and Applications. Fractional Cauchy transform. Rita A. Hibschweiler, Thomas H. MacGregor. Stefan G. Samko, Anatoly A. Kilbas, Oleg I. Marichev.

Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator D. and of the integration operator J. and developing a . . and developing a calculus for such operators generalizing the classical one. In this context, the term powers refers to iterative application of a linear operator D to a function f, that is, repeatedly composing D with itself, as in.

156 We introduce special functions like pseudo hyperbolic functions, Hermite Bessel functions and Laguerre Bessel functions.

Generalized Trigonometric Functions and Matrix Parameteri-. It is worth noting that our methods allow a new denition of fractional forms of Poisson distributions dierent from those given in processes involv-ing fractional kinetics. A noticeable amount of work has been devoted to the rigorous denition of the evolution operator and in particular the problem of its hermiticity properties and more in general of its invertibility. We introduce special functions like pseudo hyperbolic functions, Hermite Bessel functions and Laguerre Bessel functions.