The Analysis of Fractional Differential Equations

This book PDF is perfect for those who love Mathematics genre, written by Kai Diethelm and published by Springer which was released on 18 August 2010 with total hardcover pages 247. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related The Analysis of Fractional Differential Equations books below.

The Analysis of Fractional Differential Equations
Author : Kai Diethelm
File Size : 48,8 Mb
Publisher : Springer
Language : English
Release Date : 18 August 2010
ISBN : 9783642145742
Pages : 247 pages
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The Analysis of Fractional Differential Equations by Kai Diethelm Book PDF Summary

Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.

The Analysis of Fractional Differential Equations

Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on

Get Book
Theory And Applications of Fractional Differential Equations

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The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences. During the last few decades fractional calculus has also been associated with the power law effects and its various applications. It is a natural to ask if fractional calculus, as a nonlocal

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This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.

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