Coverart for item
The Resource Introduction to the fractional calculus of variations, Agnieszka B. Malinowska, Delfim F.M. Torres

Introduction to the fractional calculus of variations, Agnieszka B. Malinowska, Delfim F.M. Torres

Label
Introduction to the fractional calculus of variations
Title
Introduction to the fractional calculus of variations
Statement of responsibility
Agnieszka B. Malinowska, Delfim F.M. Torres
Creator
Contributor
Subject
Language
eng
Summary
This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems in mechanics. The inclusion of non-conservatism is extremely important from the point of view of applications. Forces that do not store energy are always present in real systems. They remove energy from the systems and, as a consequence, Noether's conservation laws cease to be valid. However, it is still possible to obtain the validity of Noether's principle using FCV. The new theory provides a more realistic approach to physics, allowing us to consider non-conservative systems in a natural way. The authors prove the necessary Euler Lagrange conditions and corresponding Noether theorems for several types of fractional variational problems, with and without constraints, using Lagrangian and Hamiltonian formalisms. Sufficient optimality conditions are also obtained under convexity, and Leitmann's direct method is discussed within the framework of FCV. The book is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and ambitious undergraduates in mathematics and mechanics. It provides an opportunity for an introduction to FCV for experienced researchers. The explanations in the book are detailed, in order to capture the interest of the curious reader, and the book provides the necessary background material required to go further into the subject and explore the rich research literature
Cataloging source
BTCTA
http://library.link/vocab/creatorName
Malinowska, Agnieszka B
Dewey number
515.83
Index
index present
LC call number
QA314
LC item number
.M356 2012
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Torres, Delfim F. M
http://library.link/vocab/subjectName
  • Fractional calculus
  • Calculus of variations
Label
Introduction to the fractional calculus of variations, Agnieszka B. Malinowska, Delfim F.M. Torres
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 261-269) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. The classical calculus of variations -- 2. Fractional calculus of variations via Riemann-Liouville operators -- 3. Fractional calculus of variations via Caputo operators -- 4. Other approaches to the fractional calculus of variations -- 5. Towards a combined fractional mechanics and quantization
Control code
792880935
Dimensions
24 cm
Extent
xvi, 275 pages
Isbn
9781848169661
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)792880935
Label
Introduction to the fractional calculus of variations, Agnieszka B. Malinowska, Delfim F.M. Torres
Publication
Bibliography note
Includes bibliographical references (pages 261-269) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. The classical calculus of variations -- 2. Fractional calculus of variations via Riemann-Liouville operators -- 3. Fractional calculus of variations via Caputo operators -- 4. Other approaches to the fractional calculus of variations -- 5. Towards a combined fractional mechanics and quantization
Control code
792880935
Dimensions
24 cm
Extent
xvi, 275 pages
Isbn
9781848169661
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)792880935

Library Locations

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      38.944377 -92.326537
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