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Fractional Calculus with Applications in Mechanics

Fractional Calculus with Applications in Mechanics

Hardcover

General Mathematics

ISBN10: 1848214170
ISBN13: 9781848214170
Publisher: Wiley-Iste
Published: Feb 28 2014
Pages: 336
Weight: 1.40
Height: 1.00 Width: 6.40 Depth: 9.10
Language: English

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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General Mathematics