Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether’s Theorem

In this paper, the necessary and sufficient conditions of optimality for variational problems with Caputo partial fractional derivative are established. Fractional Euler-Lagrange equations are obtained. The Legendre condition and Noether’s theorem are also presented.

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Bibliographic Details
Main Authors: Jun Jiang, Yuqiang Feng, Shougui Li
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/4197673
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