In this paper, we mainly discuss the existence of solutions for impulsive fractional differential equations. By applying variational methods and critical point theory, some new criteria to guarantee that the impulsive fractional differential equation has infinitely many solutions are established. Moreover, we improve and extend some previous results.

中文翻译：

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通过变分方法获得脉冲分数阶微分方程的新结果

本文主要讨论脉冲分数阶微分方程解的存在性。通过应用变分方法和临界点理论，建立了保证脉冲分数阶微分方程有无穷多解的一些新准则。此外，我们改进和扩展了一些先前的结果。