The formation of singularities in finite time in nonlocal Burgers’ equations, with time-fractional derivative, is studied in detail. The occurrence of finite-time singularity is proved, revealing the underlying mechanism, and precise estimates on the blowup time are provided. The employment of the present equation to model a problem arising in job market is also analyzed.

中文翻译：

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分数阶Burgers方程的奇异性形成

详细研究了具有时间分数导数的非局部Burgers方程在有限时间内奇点的形成。证明了有限时间奇点的发生，揭示了其潜在的机理，并提供了对爆破时间的精确估计。还分析了使用本方程来模拟就业市场中出现的问题的方法。