This paper is devoted to study an anomalous diffusion model of Kirchhoff type driven by a nonlocal integro-differential operator. The properties of solutions, such as vacuum isolating phenomena, global existence, extinction, exponentially decay, exponentially growth, and finite time blow-up were studied by potential well method and energy estimate method. The results of this paper extend and complete the recent studies on this model.

中文翻译：

---

涉及分数p-Laplacian的退化Kirchhoff型扩散方程的定性分析

本文致力于研究由非局部积分微分算子驱动的基尔霍夫型反常扩散模型。通过势阱法和能量估计法研究了溶液的性质，如真空隔离现象，整体存在，灭绝，指数衰减，指数增长和有限时间爆炸。本文的结果扩展并完成了对该模型的最新研究。