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20140310154226.0 |
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100825s2010 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642145742 |
|
978-3-642-14574-2 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA372 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.352 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
|
|---|
| -- |
ZDB-2-LNM |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Diethelm, Kai. |
| Relator term |
author. |
| 245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
The Analysis of Fractional Differential Equations |
| Medium |
[electronic resource] : |
| Remainder of title |
An Application-Oriented Exposition Using Differential Operators of Caputo Type / |
| Statement of responsibility, etc |
by Kai Diethelm. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
VIII, 247p. 20 illus., 10 illus. in color. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Lecture Notes in Mathematics, |
| International Standard Serial Number |
0075-8434 ; |
| Volume number/sequential designation |
2004 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Fundamentals of Fractional Calculus -- Riemann-Liouville Differential and Integral Operators -- Caputo’s Approach -- Mittag-Leffler Functions -- Theory of Fractional Differential Equations -- Existence and Uniqueness Results for Riemann-Liouville Fractional Differential Equations -- Single-Term Caputo Fractional Differential Equations: Basic Theory and Fundamental Results -- Single-Term Caputo Fractional Differential Equations: Advanced Results for Special Cases -- Multi-Term Caputo Fractional Differential Equations. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Global analysis (Mathematics). |
|
|---|
| Topical term or geographic name as entry element |
Integral equations. |
|
|---|
| Topical term or geographic name as entry element |
Differential Equations. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Ordinary Differential Equations. |
|
|---|
| Topical term or geographic name as entry element |
Integral Equations. |
|
|---|
| Topical term or geographic name as entry element |
Analysis. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783642145735 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-14574-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
