We consider the system of nonlinear wave equations with nonlinear time fractional damping where , and are positive natural numbers, , , , and , , is the Caputo fractional derivative of order . Namely, sufficient criteria are derived so that the system admits no global weak solution. To the best of our knowledge, the considered system was not previously studied in the literature.

中文翻译：

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一类带有非线性分数阻尼的非线性波动方程组整体弱解的不存在性。

我们考虑具有非线性时间分数阻尼的非线性波动方程组，其中， 并且是正自然数，， ， ，并且， ，是顺序的Caputo分数衍生物。即，导出足够的标准，以使系统不接受全局弱解。据我们所知，考虑的系统以前没有在文献中进行过研究。