Erdélyi–Kober Fractional Calculus

From a Statistical Perspective, Inspired by Solar Neutrino Physics

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mathematical Physics
Cover of the book Erdélyi–Kober Fractional Calculus by A. M. Mathai, H. J. Haubold, Springer Singapore
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: A. M. Mathai, H. J. Haubold ISBN: 9789811311598
Publisher: Springer Singapore Publication: September 6, 2018
Imprint: Springer Language: English
Author: A. M. Mathai, H. J. Haubold
ISBN: 9789811311598
Publisher: Springer Singapore
Publication: September 6, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Singapore

Cover of the book Challenges of Modernization and Governance in South Korea by A. M. Mathai, H. J. Haubold
Cover of the book Energy Footprints of the Energy Sector by A. M. Mathai, H. J. Haubold
Cover of the book Green Fashion Retail by A. M. Mathai, H. J. Haubold
Cover of the book China’s Selective Identities by A. M. Mathai, H. J. Haubold
Cover of the book Critical Literacy Practice by A. M. Mathai, H. J. Haubold
Cover of the book Sexualised Citizenship by A. M. Mathai, H. J. Haubold
Cover of the book Applications of Fluid Dynamics by A. M. Mathai, H. J. Haubold
Cover of the book Engaging in Educational Research by A. M. Mathai, H. J. Haubold
Cover of the book The Mind of an Engineer by A. M. Mathai, H. J. Haubold
Cover of the book 3rd International Conference on Radiation Safety & Security in Healthcare Services by A. M. Mathai, H. J. Haubold
Cover of the book Work, Institutions and Sustainable Livelihood by A. M. Mathai, H. J. Haubold
Cover of the book Soft Computing Applications by A. M. Mathai, H. J. Haubold
Cover of the book Resources, Technology and Sustainability by A. M. Mathai, H. J. Haubold
Cover of the book Nonlinear Adiabatic Evolution of Quantum Systems by A. M. Mathai, H. J. Haubold
Cover of the book EM Material Characterization Techniques for Metamaterials by A. M. Mathai, H. J. Haubold
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy