In this work, we consider fractional variational problems depending on higher order fractional derivatives. We obtain optimality conditions for such problems and we present and discuss some examples. We conclude with possible research directions.

中文翻译：

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高阶 Caputo 分数阶导数的变分法

在这项工作中，我们考虑取决于高阶分数导数的分数变分问题。我们获得了此类问题的最优性条件，并提出并讨论了一些例子。我们总结了可能的研究方向。