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Advanced Methods in the Fractional Calculus of Variations (SpringerBriefs in Applied Sciences and Technology)

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




[PDF.tr87] Advanced Methods in the Fractional Calculus of Variations (SpringerBriefs in Applied Sciences and Technology)

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 | #5441037 in Books |  2015-02-05 |  2015-03-06 | Original language:English | PDF # 1 |  9.25 x.34 x6.10l,.48 | File type: PDF | 135 pages

|| ||“The authors study variational problems containing generalized fractional integrals and derivatives, following Euler-Lagrange type methods and also the direct methods of Tonelli and others. … Each chapter has its own reference list, which adds-up

This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives.

The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems in which integer-order integrals are replaced by fractional...

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