Authors: Atanacković, Teodor
Pilipović, Stevan
Stanković, Bogoljub
Zorica, Dušan 
Title: Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes
First page: 1
Last page: 315
Issue Date: 17-Mar-2014
Rank: M10
ISBN: 978-1-118-57753-0
DOI: 10.1002/9781118577530
Abstract: 
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.
Publisher: Wiley

Show full item record

SCOPUSTM   
Citations

226
checked on Jan 31, 2023

Page view(s)

88
checked on Jan 31, 2023

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.