Coverart for item
The Resource The analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type, Kai Diethelm

The analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type, Kai Diethelm

Label
The analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type
Title
The analysis of fractional differential equations
Title remainder
an application-oriented exposition using differential operators of Caputo type
Statement of responsibility
Kai Diethelm
Creator
Subject
Language
eng
Summary
Annotation
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Diethelm, Kai
Dewey number
515/.83
Illustrations
illustrations
Index
index present
LC call number
QA314
LC item number
.D53 2010
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics
Series volume
2004
http://library.link/vocab/subjectName
  • Fractional calculus
  • Differential equations
  • Differential equations
  • Fractional calculus
  • Analysis
Summary expansion
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
Label
The analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type, Kai Diethelm
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 237-244) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Riemann-Liouville Differential and Integral Operators -- 3. Caputo's Approach -- 4. Mittag-Leffler Functions -- 5. Existence and Uniqueness Results for Riemann-Liouville Fractional Differential Equations -- 6. Single-Term Caputo Fractional Differential Equations : Basic Theory and Fundamental Results -- 7. Single-Term Caputo Fractional Differential Equations : Advanced Results for Special Cases -- 8. Multi-Term Caputo Fractional Differential Equations
Control code
667714044
Dimensions
unknown
Extent
1 online resource (viii, 247 pages)
Form of item
online
Isbn
9783642145742
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-14573-5
Specific material designation
remote
System control number
(OCoLC)667714044
Label
The analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type, Kai Diethelm
Publication
Bibliography note
Includes bibliographical references (pages 237-244) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Riemann-Liouville Differential and Integral Operators -- 3. Caputo's Approach -- 4. Mittag-Leffler Functions -- 5. Existence and Uniqueness Results for Riemann-Liouville Fractional Differential Equations -- 6. Single-Term Caputo Fractional Differential Equations : Basic Theory and Fundamental Results -- 7. Single-Term Caputo Fractional Differential Equations : Advanced Results for Special Cases -- 8. Multi-Term Caputo Fractional Differential Equations
Control code
667714044
Dimensions
unknown
Extent
1 online resource (viii, 247 pages)
Form of item
online
Isbn
9783642145742
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-14573-5
Specific material designation
remote
System control number
(OCoLC)667714044

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      38.944491 -92.326012
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