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Erdelyi-Kober fractional calculusfro...

Haubold, H. J.

Erdelyi-Kober fractional calculusfrom a statistical perspective, inspired by solar neutrino physics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Erdelyi-Kober fractional calculusby A. M. Mathai, H. J. Haubold.
Reminder of title:	from a statistical perspective, inspired by solar neutrino physics /
Author:	Mathai, A. M.
other author:	Haubold, H. J.
Published:	Singapore :Springer Singapore :2018.
Description:	xii, 122 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fractional calculus.
Online resource:	https://doi.org/10.1007/978-981-13-1159-8
ISBN:	9789811311598$q(electronic bk.)

Erdelyi-Kober fractional calculusfrom a statistical perspective, inspired by solar neutrino physics /
Mathai, A. M.

Erdelyi-Kober fractional calculusfrom a statistical perspective, inspired by solar neutrino physics /[electronic resource] :by A. M. Mathai, H. J. Haubold. - Singapore :Springer Singapore :2018. - xii, 122 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematical physics,v.312197-1757 ;. - SpringerBriefs in mathematical physics ;v.1..

This book focuses on Erdelyi-Kober fractional calculus from a statistical perspective inspired by solar neutrino physics. Results of diffusion entropy analysis and standard deviation analysis of data from the Super-Kamiokande solar neutrino experiment lead to the development of anomalous diffusion and reaction in terms of fractional calculus. The new statistical perspective of Erdelyi-Kober fractional operators outlined in this book will have fundamental applications in the theory of anomalous reaction and diffusion processes dealt with in physics. A major mathematical objective of this book is specifically to examine a new deﬁnition for fractional integrals in terms of the distributions of products and ratios of statistically independently distributed positive scalar random variables or in terms of Mellin convolutions of products and ratios in the case of real scalar variables. The idea will be generalized to cover multivariable cases as well as matrix variable cases. In the matrix variable case, M-convolutions of products and ratios will be used to extend the ideas. We then give a deﬁnition for the case of real-valued scalar functions of several matrices.

ISBN: 9789811311598$q(electronic bk.)

Standard No.: 10.1007/978-981-13-1159-8doiSubjects--Topical Terms:

208302
Fractional calculus.

LC Class. No.: QA314 / .M384 2018

Dewey Class. No.: 515.83

Erdelyi-Kober fractional calculusfrom a statistical perspective, inspired by solar neutrino physics /
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520 $a This book focuses on Erdelyi-Kober fractional calculus from a statistical perspective inspired by solar neutrino physics. Results of diffusion entropy analysis and standard deviation analysis of data from the Super-Kamiokande solar neutrino experiment lead to the development of anomalous diffusion and reaction in terms of fractional calculus. The new statistical perspective of Erdelyi-Kober fractional operators outlined in this book will have fundamental applications in the theory of anomalous reaction and diffusion processes dealt with in physics. A major mathematical objective of this book is specifically to examine a new deﬁnition for fractional integrals in terms of the distributions of products and ratios of statistically independently distributed positive scalar random variables or in terms of Mellin convolutions of products and ratios in the case of real scalar variables. The idea will be generalized to cover multivariable cases as well as matrix variable cases. In the matrix variable case, M-convolutions of products and ratios will be used to extend the ideas. We then give a deﬁnition for the case of real-valued scalar functions of several matrices.
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