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- W4289936071 abstract "In this paper, a generalized Volterra-type integral inequality is developed. On the basis of this inequality, the effect of fractional-order ω $$ omega $$ 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 0 < ω < 1 $$ 0<omega <1 $$ . 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 ω ≥ 1 $$ omega ge 1 $$ , and results are consistent, but this is just a coincidence." @default.
- W4289936071 created "2022-08-06" @default.
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- W4289936071 date "2022-08-05" @default.
- W4289936071 modified "2023-10-11" @default.
- W4289936071 title "Some remarks on the Gronwall integral inequality" @default.
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- W4289936071 doi "https://doi.org/10.1002/mma.8624" @default.
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