Erdelyi-Kober Fractional Calculus - From a Statistical Perspective, Inspired by Solar Neutrino Physics (Paperback, 1st ed. 2018)

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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Series:	SpringerBriefs in Mathematical Physics, 31
Release date:	September 2018
First published:	2018
Authors:	A.M. Mathai • H.J. Haubold
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	122
Edition:	1st ed. 2018
ISBN-13:	978-981-13-1158-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Promotions
LSN:	981-13-1158-7
Barcode:	9789811311581

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