Description: Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes2014 Hardcover, 315 pages 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.
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Subject Area: Mathematical Analysis
Publication Name: Fractional Calculus with Applications in Mechanics: Vibrations an
Item Length: 9.5in
Publisher: ISTE, Ltd.
Subject: Mechanics, Calculus
Publication Year: 2014
Type: Textbook
Format: Hardcover
Language: English
Item Height: 1in
Author: Teodor M. Atanackovic, Stevan Pilipovic, Dušan Zorica, Bogoljub Stankovic
Country/Region of Manufacture: United Kingdom
Item Width: 6.4in
Item Weight: 22.6 Oz
Number of Pages: 315 Pages
