In this paper, a generalized Volterra-type integral inequality is developed. On the basis of this inequality, the effect of fractional-order $\omega$ on the application of the integer-order Gronwall integral inequality (IOGII) is discussed. Specially speaking, the IOGII cannot be directly used to reckon the solution of integral inequality with the order . It seems that both the IOGII and the generalized Volterra-type integral inequality can be applied to estimate the solution of integral inequality with the order $\omega \ge 1$, and results are consistent, but this is just a coincidence.

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关于 Gronwall 积分不等式的一些评论

在本文中，开发了一个广义的 Volterra 型积分不等式。在此不等式的基础上，分数阶的效果$\omega$讨论了整数阶 Gronwall 积分不等式 (IOGII) 的应用。特别地，IOGII不能直接用来计算阶数不等式的解. 似乎 IOGII 和广义 Volterra 型积分不等式都可以用来估计阶数不等式的解$\omega \ge \mathrm{1个}$，和结果是一致的，但这只是巧合。