Fractional Calculus with Applications in Mechanics is popular PDF and ePub book, written by Teodor M. Atanackovic in 2014-02-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fractional Calculus with Applications in Mechanics can be Read Online from any device for your convenience.
Fractional Calculus with Applications in Mechanics Book PDF Summary
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.
Detail Book of Fractional Calculus with Applications in Mechanics PDF
- Author : Teodor M. Atanackovic
- Release : 19 February 2014
- Publisher : John Wiley & Sons
- ISBN : 9781118577462
- Genre : Mathematics
- Total Page : 306 pages
- Language : English
- PDF File Size : 9,9 Mb
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