Numerical Methods for Fractional Variational Problems Depending on Indefinite Integrals
2012 ◽
Vol 8
(2)
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Keyword(s):
In this paper, the fractional variational integrators for fractional variational problems depending on indefinite integrals in terms of the Caputo derivative are developed. The corresponding fractional discrete Euler–Lagrange equations are derived. Some fractional variational integrators are presented based on the Grünwald–Letnikov formula. The fractional variational errors are discussed. Some numerical examples are given to illustrate these results.
2011 ◽
Vol 14
(4)
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2002 ◽
Vol 272
(1)
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pp. 368-379
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2015 ◽
Vol 23
(1-3)
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pp. 39-50
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Keyword(s):
2010 ◽
Vol 59
(9)
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pp. 3110-3116
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2012 ◽
Vol 17
(2)
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pp. 602-610
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2012 ◽
Vol 25
(2)
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pp. 142-148
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