Results 11 to 20 of about 1,386 (256)
Generalized transversality conditions in fractional calculus of variations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2013 This is a preprint of a paper whose final and definite form will be published in Communications in Nonlinear Science and Numerical Simulation, accepted 14-July ...
Almeida, R, Malinowska, AB
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The Legendre condition of the fractional calculus of variations [PDF]
Optimization, 2014 This is a preprint of a paper whose final and definite form will appear in Optimization (ISSN 0233-1934).
Lazo, M. J., Torres, D. F. M.
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Calculus of variations with fractional derivatives and fractional integrals
Applied Mathematics Letters, 2009 We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville.
Almeida, R., Torres, D.F.M.
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Generalized fractional calculus with applications to the calculus of variations
Computers & Mathematics with Applications, 2012 Submitted 22-Dec-2011; revised 26-Jan-2012; accepted 27-Jan-2012; for publication in Computers and Mathematics with ...
Odzijewicz, T. +2 more
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Discrete direct methods in the fractional calculus of variations
Computers & Mathematics with Applications, 2013 Finite differences, as a subclass of direct methods in the calculus of variations, consist in discretizing the objective functional using appropriate approximations for derivatives that appear in the problem. This article generalizes the same idea for fractional variational problems.
Pooseh, S., Almeida, R., Torres, D.F.M.
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Isoperimetric problems of the calculus of variations with fractional derivatives [PDF]
Acta Mathematica Scientia, 2012 Submitted 02-Oct-2009; revised 30-Jun-2010; accepted 10-May-2011; for publication in the journal Acta Mathematica ...
Almeida, Ricardo +2 more
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Fractional Calculus of Variations: A Novel Way to Look At It [PDF]
Fractional Calculus and Applied Analysis, 2019 In this work we look at the original fractional calculus of variations problem in a somewhat different way. As a simple consequence, we show that a fractional generalization of a classical problem has a solution without any restrictions on the derivative-order $ $.
Rui A C Ferreira
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Necessary optimality conditions for fractional difference problems of the calculus of variations
Discrete & Continuous Dynamical Systems - A, 2011 We introduce a discrete-time fractional calculus of variations. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given. They show that the solutions of the fractional problems coincide with the solutions of the corresponding non-fractional ...
Bastos, N.R.O. +2 more
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Fractional calculus of variations of several independent variables [PDF]
The European Physical Journal Special Topics, 2013 We prove multidimensional integration by parts formulas for generalized fractional derivatives and integrals. The new results allow us to obtain optimality conditions for multidimensional fractional variational problems with Lagrangians depending on generalized partial integrals and derivatives. A generalized fractional Noether's theorem, a formulation
Odzijewicz, Tatiana +2 more
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Fractal and Fractional, 2022 In this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function.
Fátima Cruz +2 more
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