The Resource Advanced methods in the fractional calculus of variations, Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres

Advanced methods in the fractional calculus of variations, Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres

Label
Advanced methods in the fractional calculus of variations
Title
Advanced methods in the fractional calculus of variations
Statement of responsibility
Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the EulerĺlLagrange equations to include fractional derivatives. The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems in which integer-order integrals are replaced by fractional integrals. General theorems are obtained for several types of variational problems for which recent results developed in the literature can be obtained as special cases. In particular, the authors offer necessary optimality conditions of EulerĺlLagrange type for the fundamental and isoperimetric problems, transversality conditions, and Noether symmetry theorems. The existence of solutions is demonstrated under Tonelli type conditions. The results are used to prove the existence of eigenvalues and corresponding orthogonal eigenfunctions of fractional SturmĺlLiouville problems. Advanced Methods in the Fractional Calculus of Variations is a self-contained text which will be useful for graduate students wishing to learn about fractional-order systems. The detailed explanations will interest researchers with backgrounds in applied mathematics, control and optimization as well as in certain areas of physics and engineering
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Malinowska, Agnieszka B
Dewey number
515/.83
Index
index present
LC call number
QA314
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Odzijewicz, Tatiana
  • Torres, Delfim F. M.
Series statement
SpringerBriefs in Applied Sciences and Technology,
http://library.link/vocab/subjectName
  • Fractional calculus
  • Calculus of variations
  • MATHEMATICS
  • MATHEMATICS
  • Calculus of variations
  • Fractional calculus
  • Automatic control engineering
  • Mathematical physics
  • Economic theory & philosophy
  • Mathematical modelling
  • Cybernetics & systems theory
  • Calculus of variations
Label
Advanced methods in the fractional calculus of variations, Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-14756-7
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references 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. Fractional Calculus -- 3. Fractional Calculus of Variations -- 4. Standard Methods in Fractional Variational Calculus -- 5. Direct Methods in Fractional Calculus of Variations -- 6. Application to the Sturm-Liouville Problem -- 7. Conclusion -- Appendix -- Two Convergence Lemmas -- Index
Dimensions
unknown
Extent
1 online resource (xii, 135 pages).
File format
unknown
Form of item
online
Isbn
9783319147550
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-14756-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)903014335
  • (OCoLC)ocn903014335
Label
Advanced methods in the fractional calculus of variations, Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-14756-7
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references 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. Fractional Calculus -- 3. Fractional Calculus of Variations -- 4. Standard Methods in Fractional Variational Calculus -- 5. Direct Methods in Fractional Calculus of Variations -- 6. Application to the Sturm-Liouville Problem -- 7. Conclusion -- Appendix -- Two Convergence Lemmas -- Index
Dimensions
unknown
Extent
1 online resource (xii, 135 pages).
File format
unknown
Form of item
online
Isbn
9783319147550
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-14756-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)903014335
  • (OCoLC)ocn903014335

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