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Erdélyi–Kober Fractional Calculus = From a Statistical Perspective, Inspired by Solar Neutrino Physics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Erdélyi–Kober Fractional Calculus/ by A. M. Mathai, H. J. Haubold.
其他題名:	From a Statistical Perspective, Inspired by Solar Neutrino Physics /
作者:	Mathai, A. M.
其他作者:	Haubold, H. J.
面頁冊數:	XII, 122 p. 6 illus., 3 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical physics. -
電子資源:	https://doi.org/10.1007/978-981-13-1159-8
ISBN:	9789811311598

Erdélyi–Kober Fractional Calculus = From a Statistical Perspective, Inspired by Solar Neutrino Physics /
Mathai, A. M.

Erdélyi–Kober Fractional CalculusFrom a Statistical Perspective, Inspired by Solar Neutrino Physics /[electronic resource] :by A. M. Mathai, H. J. Haubold. - 1st ed. 2018. - XII, 122 p. 6 illus., 3 illus. in color.online resource. - SpringerBriefs in Mathematical Physics,312197-1757 ;. - SpringerBriefs in Mathematical Physics,8.

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.

ISBN: 9789811311598

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

527831
Mathematical physics.

LC Class. No.: QA401-425

Dewey Class. No.: 530.15

Erdélyi–Kober Fractional Calculus = From a Statistical Perspective, Inspired by Solar Neutrino Physics /
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