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Fractional kinetics in space : anomalous transport models

Author: V V Uchaĭkin; Renat Sibatov
Publisher: Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2018].
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"This book is first of its kind describing a new direction in modeling processes taking place in interplanetary and interstellar space (magnetic fields, plasma, cosmic rays, etc.). This method is based on a special mathematical analysis -- fractional calculus. The reader will find in this book clear physical explanation of the fractional approach and will become familiar with basic rules in this calculus and main  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Uchaĭkin, V. V. (Vladimir Vasilʹevich).
Fractional kinetics in space.
Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2018]
(DLC) 2017041018
(OCoLC)990572166
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V V Uchaĭkin; Renat Sibatov
ISBN: 9789813225435 9813225432 9789813225442 9813225440
OCLC Number: 1020286014
Description: 1 online resource.
Contents: Mathematical Prelude --
Nonlocal Diffusion Models in Hydrodynamics --
Interstellar Medium --
Solar System Scales --
From Classic to Fractional Models of Cosmic Ray Transport --
Acceleration of Cosmic Rays --
Nonlocal Relativistic Diffusion Model --
Cosmological Scales --
Conclusion: Invitation to Fractional Cosmology.
Responsibility: Vladimir Uchaiki, Renat Sibatov (Ulyanovsk State University, Russia).

Abstract:

"This book is first of its kind describing a new direction in modeling processes taking place in interplanetary and interstellar space (magnetic fields, plasma, cosmic rays, etc.). This method is based on a special mathematical analysis -- fractional calculus. The reader will find in this book clear physical explanation of the fractional approach and will become familiar with basic rules in this calculus and main results obtained in frame of this approach. In spite of its profound subject, the book is not overloaded by mathematical details. It contains many illustrations, rich citation and remains accessible to a wide circle of physicists. This book is addressed to graduate and postgraduate students, young and mature researchers specializing in applications of fractional calculus, astrophysics, solar-terrestrial science and physics of cosmic rays."--

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