Fractional Calculus with Applications in Mechanics Vibrations and Diffusion Processes
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Form:Einzelkauf Download
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Sprache:Englisch
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eBook Format:PDF
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Verlag:John Wiley & Sons Inc
160,99 €
inkl. gesetzl. MwSt.Beschreibung
Produktdetails
Format
Kopierschutz
Ja
Family Sharing
Nein
Text-to-Speech
Nein
Erscheinungsdatum
19.02.2014
Verlag
John Wiley & Sons IncSeitenzahl
336 (Printausgabe)
Dateigröße
3031 KB
Auflage
1. Auflage
Sprache
Englisch
EAN
9781118577509
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.
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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