Computational methods in the fractional calculus of variations

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Computational methods in the fractional calculus of variations

Ricardo Almeida (Author), Shakoor Pooseh (Author), Delfim F M Torres (Author)

ISBN10: 1783266406

ISBN13: 978-1783266401

Computational methods in the fractional calculus of variations

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This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving as a companion volume to Introduction to the Fractional Calculus of Variations by A B Malinowska and D F M Torres, where analytical methods are presented to solve FCV problems. After some preliminaries on the subject, different techniques are presented in detail with numerous examples to help the reader to better understand the methods. The techniques presented may be used not only to deal with FCV problems but also in other contexts of fractional calculus, such as fractional differential equations and fractional optimal control. It is suitable as an advanced book for graduate students in mathematics, physics and engineering, as well as for researchers interested in fractional calculus.

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title Computational Methods in the Fractional Calculus of Variations
authors Ricardo Almeida
publishedDate 2015
description This book fills a gap in the literature by introducing numerical techniques to solve problems of the Fractional Calculus of Variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used. After some preliminaries on the subject, different techniques are presented in detail with numerous examples to help the reader to better understand the methods. The techniques presented may be used not only to deal with FCV problems but also in other different contexts of fractional calculus, such as fractional differential equations and fractional optimal control. The authors are well-known researchers in the area of FCV and the book contains some of their recent results, bringing together material published in different specialized international journals. It is suitable as an advanced book for graduate students in mathematics, physics and engineering, as well as for researchers interested in fractional calculus.
pageCount 266
printType BOOK
categories Mathematics
maturityRating NOT_MATURE
panelizationSummary
language en
canonicalVolumeLink https://books.google.com/books/about/Computational_Methods_in_the_Fractional.html?hl=&id=YpLArQEACAAJ

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