A M Mathai

(Author)

Erdélyi-Kober Fractional Calculus: From a Statistical Perspective, Inspired by Solar Neutrino Physics (2018)Paperback - 2018, 17 September 2018

Erdélyi-Kober Fractional Calculus: From a Statistical Perspective, Inspired by Solar Neutrino Physics (2018)
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Part of Series
Springerbriefs in Mathematical Physics
Part of Series
Springerbriefs in Physics
Print Length
122 pages
Language
English
Publisher
Springer
Date Published
17 Sep 2018
ISBN-10
9811311587
ISBN-13
9789811311581

Description

This book focuses on Erdélyi-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 Erdélyi-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.

Product Details

Authors:
A M MathaiH J Haubold
Book Edition:
2018
Book Format:
Paperback
Country of Origin:
NL
Date Published:
17 September 2018
Dimensions:
23.39 x 15.6 x 0.74 cm
ISBN-10:
9811311587
ISBN-13:
9789811311581
Language:
English
Location:
Singapore
Pages:
122
Publisher:
Weight:
199.58 gm

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