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
Resource Information
The item Introduction to the fractional calculus of variations, Agnieszka B. Malinowska, Delfim F.M. Torres represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to the fractional calculus of variations, Agnieszka B. Malinowska, Delfim F.M. Torres represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 nonconservative systems in mechanics. The inclusion of nonconservatism 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 nonconservative 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 selfcontained 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
 Language
 eng
 Extent
 xvi, 275 pages
 Contents

 1. The classical calculus of variations
 2. Fractional calculus of variations via RiemannLiouville 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
 Isbn
 9781848169661
 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
 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 nonconservative systems in mechanics. The inclusion of nonconservatism 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 nonconservative 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 selfcontained 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
 Bibliography note
 Includes bibliographical references (pages 261269) 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 RiemannLiouville 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
 Bibliography note
 Includes bibliographical references (pages 261269) 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 RiemannLiouville 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Introductiontothefractionalcalculusof/UhHXbfXLrYA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Introductiontothefractionalcalculusof/UhHXbfXLrYA/">Introduction to the fractional calculus of variations, Agnieszka B. Malinowska, Delfim F.M. Torres</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>