ENGLISH

The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type

By Kai Diethelm (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
ISBN
3642145736, 9783642145735, 9783642145742, 3642145744
DOI
10.1007/978-3-642-14574-2
Language
english
Format
PDF
Filesize
1 MB (1493199 bytes)
Series
Lecture Notes in Mathematics 2004
Edition
1
Pages
247\262
Library
Kolxo3
Time added
2010-11-11 16:01:50
Ordinary Differential Equations; Integral Equation

Description

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.

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