Fractional derivatives for physicists and engineers Volume I Background and theory Vladimir V. Uchaikin

Format:

Book

Author/Creator:

Uchaĭkin, V. V. (Vladimir Vasilʹevich), author.

Series:

Nonlinear physical science

Nonlinear physical science 1867-8440

Language:

English

Subjects (All):

Fractional calculus.

Physics.

Computer science--Mathematics.

Computer science.

physics.

Physical Description:

1 online resource

Other Title:

Background and theory

Place of Publication:

Beijing Higher Education Press Heidelberg Springer 2013

Summary:

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

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

Contents:

Physical Basics

Fractional Derivatives

Fractional Equations

Applications

Mechanics

Kinetics

Electrodynamics

Atomic Physics

Space Physics

Notes:

Includes bibliographical references and index

Online resource (EBL, viewed November 22, 2016)

Other Format:

Print version Uchaĭkin, V.V. (Vladimir Vasilʹevich). Fractional derivatives for physicists and engineers

ISBN:

9783642339110

3642339115

3642339107

9783642339103

7040322358

9787040322354

OCLC:

853116963

Access Restriction:

Restricted for use by site license