We give necessary conditions to get oscillatory solutions of a class of fractional order neutral differential equations with continuously distributed delay by means of the fractional derivative with respect to a given function. In particular, oscillatory solutions of the considered fractional equations with Caputo and Hadamard type of fractional derivatives are established. Some explicit examples are given to illustrate the main results.

中文翻译：

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分数阶积分微分方程的振动解

通过给定函数的分数导数，我们给出了获得具有连续分布延迟的分数阶中立型微分方程的振动解的必要条件。特别地，建立了具有Caputo和Hadamard型分数导数的分数阶方程的振动解。给出一些明确的例子来说明主要结果。