Fractional Kinetics In Space: Anomalous Transport Models

by Vladimir V Uchaikin (Author),‎ Renat Sibatov (Author)

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.

Contents:
Overview
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
Bibliography

Readership: Graduate and postgraduate students, researchers specializing in applications of fractional calculus, astrophysics, solar-terrestrial science and physics of cosmic rays.



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