Login

Atanackovic, T.

Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes

Atanackovic, T. - Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes, ebook

163,70€

Ebook, ePUB with Adobe DRM
ISBN: 9781118577462
DRM Restrictions

Printing30 pages with an additional page accrued every day, capped at 30 pages
Copy to clipboard5 excerpts

This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor will be observed in the applications. The authors provide some problems formulated in the classical setting and some in the distributional setting. The solutions to these problems are presented in analytical form and these solutions are then analyzed numerically. Theorems on the existence of solutions will be presented for all examples discussed. In using various constitutive equations the restrictions following from the second law of thermodynamics will be implemented. Finally, the physical implications of obtained solutions will be discussed in detail.

Keywords: Applied Mathematics, Fractional calculus, mechanics, viscoelasticity, heat conduction, wave propagation, variational principles of Hamilton?s type, fractional derivatives

Author(s)
 
 
 
Publisher
John Wiley and Sons, Inc.
Publication year
2013
Language
en
Edition
1
Series
ISTE
Category
Technology, Energy, Traffic
Format
Ebook
eISBN (ePUB)
9781118577462
Printed ISBN
9781848214170

Similar titles