Introduction to the Fractional Calculus of Variations (Hardback)

Delfim F. M. Torres, Agnieszka Barbara Malinowska

Editorial: Imperial College Press, 2012
ISBN 10: 1848169663 / ISBN 13: 9781848169661
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Language: English . Brand New Book. 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. N° de ref. de la librería

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Sinopsis: 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.

Readership: Advanced undergraduate, graduate students and researchers in mathematics, physics, operations research and applied sciences.

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Título: Introduction to the Fractional Calculus of ...
Editorial: Imperial College Press
Año de publicación: 2012
Encuadernación: Hardback
Condición del libro: New

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Delfim F. M. Torres
Editorial: Imperial College Press (2012)
ISBN 10: 1848169663 ISBN 13: 9781848169661
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Descripción Imperial College Press, 2012. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CA-9781848169661

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Descripción 2012. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9781848169661

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Delfim F. M. Torres, Agnieszka Barbara Malinowska
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Descripción Imperial College Press, United Kingdom, 2012. Hardback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9781848169661

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Delfim F. M. Torres, Agnieszka Barbara Malinowska
Editorial: Imperial College Press, United Kingdom (2012)
ISBN 10: 1848169663 ISBN 13: 9781848169661
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Descripción Imperial College Press, United Kingdom, 2012. Hardback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9781848169661

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Descripción Estado de conservación: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería POD_9781848169661

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Delfim F. M. Torres, Agnieszka B. Malinowska
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Descripción Imperial College Press. Hardback. Estado de conservación: new. BRAND NEW, Introduction to the Fractional Calculus of Variations, Delfim F. M. Torres, Agnieszka B. Malinowska, 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. Nº de ref. de la librería B9781848169661

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Torres, Delfim F. M./ Malinowska, Agnieszka B.
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Descripción Imperial College Pr, 2012. Hardcover. Estado de conservación: Brand New. 300 pages. 9.10x0.90x6.00 inches. In Stock. Nº de ref. de la librería x-1848169663

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Torres Delfim F.M. Malinowska Agnieszka B.
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Descripción Imperial College Press. Estado de conservación: New. pp. 300. Nº de ref. de la librería 49816958

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Agnieszka B Malinowska; Delfim F M Torres
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Descripción Imperial College Press, 2012. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería M1848169663

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Delfim F M Torres
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Descripción Imperial College Press. Hardcover. Estado de conservación: New. Hardcover. 292 pages. Dimensions: 9.1in. x 6.0in. x 0.9in.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, Noethers conservation laws cease to be valid. However, it is still possible to obtain the validity of Noethers 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 Leitmanns 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. Readership: Advanced undergraduate, graduate students and researchers in mathematics, physics, operations research and applied sciences. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Nº de ref. de la librería 9781848169661

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