Fractional Kinetics in Space

Anomalous Transport Models

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.
Key Features:

• There is no other book representing cosmic processes in frame of the fractional calculus
• The authors of the present book reveal the veritable equations governing the transport processes in the heliosphere, Galaxy and beyond and the equations turn out to be of fractional order
• The book explains the nature of fractional calculus and teaches the reader to work with it