This book brings new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. The first volume (ISBN: 978-3-642-33910-3) contains a clear introduction into such a modern branch of analysis as fractional calculus. This second volume develops a wide panorama of applications of the fractional calculus to various physical problems.

This book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular.

Combines a clear introduction to the fractional calculus with the description of a wide sphere of physical applications Offers ease of access and breadth of scope in physics Enables readers to apply the new methods in their own research

Autorentext

Prof. Vladimir V. Uchaikin is a known Russian scientist and pedagogue, an honored worker of Russian High School and a member of the Russian Academy of Natural Sciences. He is the author of about three hundred articles and more than a dozen books (mostly in Russian) in cosmic ray physics, mathematical physics, Levy stable statistics, Monte Carlo methods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy.

Inhalt

Applications of Fractional derivatives.- Fractional Derivatives.- Stable statistics.- Fractional differential equations.- Continuum Mechanics.- Porous Media.- Electrodynamics and thermodynamics.- Quantum Mechanics.- Plasma Dynamics.- Cosmic Rays.- Self-similar stochasticity.