Volume 4 Applications in Physics, Part A

Book

Volume 4 Applications in Physics, Part A

Edited by: Vasily E. Tarasov

Part of the multi-volume work

Handbook of Fractional Calculus with Applications

Language: English

Published/Copyright: 2019

Published by

Become an author with De Gruyter Brill

Explore this Subject How to publish with us

This book is in the series

De Gruyter Reference

About this book

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.

A unique, comprehensive overview of fractional calculus and its applications
With authoritative contributions from the world's leading experts
Of interest to mathematicians, physicists, and engineers

Author / Editor information

Vasily E. Tarasov, Lomonosov Moscow State University, Russian Federation.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	VII
Fractional Van der Pol oscillator J. A. Tenreiro Machado and António M. Lopes Requires Authentication Unlicensed Licensed	1
Fractional Lagrangian and Hamiltonian mechanics with memory Dumitru Baleanu and Sami I. Muslih Requires Authentication Unlicensed Licensed	23
Fractional relaxation-oscillation phenomena Rudolf Gorenflo and Francesco Mainardi Requires Authentication Unlicensed Licensed	45
Fractional calculus and long-range interactions Vasily E. Tarasov Requires Authentication Unlicensed Licensed	75
Dynamics of nonlinear systems with power-law memory Mark Edelman Requires Authentication Unlicensed Licensed	103
Fractional oscillator basics Aleksander Stanislavsky Requires Authentication Unlicensed Licensed	133
Fractional viscoelasticity Francesco Mainardi Requires Authentication Unlicensed Licensed	153
Relationships between 1D and space fractals and fractional integrals and their applications in physics Raoul R. Nigmatullin and Dumitru Baleanu Requires Authentication Unlicensed Licensed	183
Thermodiffusion in a deformable solid: fractional calculus approach Yuriy Povstenko Requires Authentication Unlicensed Licensed	221
Fractional generalizations of gradient mechanics Elias C. Aifantis Requires Authentication Unlicensed Licensed	241
Application of fractional calculus to fractal media Jun Li and Martin Ostoja-Starzewski Requires Authentication Unlicensed Licensed	263
Fractional-order constitutive equations in mechanics and thermodynamics Francesco Paolo Pinnola and Massimiliano Zingales Requires Authentication Unlicensed Licensed	277
Index Requires Authentication Unlicensed Licensed	305

Publishing information

Pages and Images/Illustrations in book

eBook published on:

February 19, 2019

eBook ISBN:

9783110571707

Hardcover published on:

February 19, 2019

Hardcover ISBN:

9783110570885

Pages and Images/Illustrations in book

Front matter:

8

Main content:

306

Illustrations:

43

Coloured Illustrations:

29

Tables:

20

https://doi.org/10.1515/9783110571707

eBook ISBN: 9783110571707

Hardcover ISBN: 9783110570885

Keywords for this book

Gebrochene Analysis

Audience(s) for this book

Researchers and graduate students in mathematics, physics, and engineering.

Safety & product resources

Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Volume 4 Applications in Physics, Part A

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data