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Fractional Calculus with Applications in Mechanics

Vibrations and Diffusion Processes

Stevan Pilipović author Bogoljub Stankovic author Teodor M Atanackovic author Dusan Zorica author

Format:Hardback

Publisher:ISTE Ltd and John Wiley & Sons Inc

Published:28th Jan '14

Currently unavailable, and unfortunately no date known when it will be back

Fractional Calculus with Applications in Mechanics cover

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.

“The book will be useful to researchers and students looking for applications of fractional calculus in applied mechanics and engineering.”  (Zentralblatt MATH, 1 November 2014)

 

ISBN: 9781848214170

Dimensions: 241mm x 163mm x 25mm

Weight: 640g

336 pages