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Fractional Calculus of Variations in Dynamics

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Fractional Dynamics

Part of the book series: Nonlinear Physical Science ((NPS,volume 0))

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Abstract

In mathematics and theoretical physics, variational (functional) derivative is a generalization of usual derivative that arises in the calculus of variations. In a variation instead of differentiating a function with respect to a variable, one differentiates a functional with respect to a function. Using the fractional calculus, we consider a fractional generalization of variational (functional) derivatives.

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Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119992, Moscow, Russia

    Vasily E. Tarasov

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  1. Vasily E. Tarasov
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© 2010 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg

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Tarasov, V.E. (2010). Fractional Calculus of Variations in Dynamics. In: Fractional Dynamics. Nonlinear Physical Science, vol 0. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14003-7_14

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