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2015 | OriginalPaper | Chapter

3. Fractional Calculus of Variations

Authors : Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F. M. Torres

Published in: Advanced Methods in the Fractional Calculus of Variations

Publisher: Springer International Publishing

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Abstract

We review a few main approaches to the fractional calculus of variations.

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previous chapter Fractional Calculus
next chapter Standard Methods in Fractional Variational Calculus
Literature
Almeida R, Pooseh S, Torres DFM (2015) Computational methods in the fractional calculus of variations. Imperial College Press, LondonCrossRef
Clarke F (2013) Functional analysis, calculus of variations and optimal control. Graduate texts in mathematics. Springer, London
Cresson J (2007) Fractional embedding of differential operators and Lagrangian systems. J Math Phys 48(3):033504, 34 pp
Cresson J, Darses S (2007) Stochastic embedding of dynamical systems. J Math Phys 48(7):072703, 54 pp
Cresson J, Frederico GSF, Torres DFM (2009) Constants of motion for non-differentiable quantum variational problems. Topol Methods Nonlinear Anal 33(2):217–231MATHMathSciNet
Dacorogna B (2004) Introduction to the calculus of variations. Translated from the 1992 French original. Imperial College Press, London
Klimek M (2009) On solutions of linear fractional differential equations of a variational type. The Publishing Office of Czestochowa University of Technology, Czestochowa
Malinowska AB, Torres DFM (2012) Introduction to the fractional calculus of variations. Imperial College Press, LondonCrossRefMATH
Malinowska AB, Torres DFM (2014) Quantum variational calculus. Springer briefs in electrical and computer engineering. Springer, Cham
Metadata
Title
Fractional Calculus of Variations
Authors
Agnieszka B. Malinowska
Tatiana Odzijewicz
Delfim F. M. Torres
Copyright Year
2015
Book
Advanced Methods in the Fractional Calculus of Variations

Print ISBN: 978-3-319-14755-0

Electronic ISBN: 978-3-319-14756-7

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-14756-7_3

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