Fractional Derivatives for Physicists and Engineers
Subtitle: Background and Theory
By: by Vladimir V. Uchaikin
Contributors: SpringerLink (Online service)
Series: Nonlinear Physical Science
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Language: eng
Format: [electronic resource] :
Number of pages: 385
ISBN-13: 9783642339110
Subjects: Computational Mathematics and Numerical Analysis; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Mathematics; Physics; Mathematical and Computational Physics Theoretical; Computer science
Description: 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. Fractional Derivatives for Physicists and Engineers— The first volume contains a clear introduction into such a modern branch of analysis as the fractional calculus. The second develops a wide panorama of applications of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics.  The 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. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School, a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds 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.
Table of contents: title: Physical Basics; title: Fractional Derivatives; title: Fractional Equations; title: Applications; title: Mechanics; title: Kinetics; title: Electrodynamics; title: Atomic Physics; title: Space Physics.