Erdélyi–Kober Fractional Calculus - A. M. Mathai, H. J. Haubold

Erdélyi–Kober Fractional Calculus

From a Statistical Perspective, Inspired by Solar Neutrino Physics
Buch | Softcover
122 Seiten
2018 | 1st ed. 2018
Springer Verlag, Singapore
978-981-13-1158-1 (ISBN)
53,49 inkl. MwSt
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.
Erscheinungsdatum
Reihe/Serie SpringerBriefs in Mathematical Physics ; 31
Zusatzinfo 3 Illustrations, color; 3 Illustrations, black and white; XII, 122 p. 6 illus., 3 illus. in color.
Verlagsort Singapore
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie Theoretische Physik
ISBN-10 981-13-1158-7 / 9811311587
ISBN-13 978-981-13-1158-1 / 9789811311581
Zustand Neuware
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