期刊
JOURNAL OF FUNCTION SPACES
卷 2019, 期 -, 页码 -出版社
HINDAWI LTD
DOI: 10.1155/2019/6091602
关键词
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资金
- National Natural Science Foundation of China [61573008, 61473178, 61703233]
- Natural Science Foundation of Shandong Province [ZR2016FQ09, ZR2018MF005]
- Postdoctoral Science Foundation of China [2016M602112]
- Open Fund of Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education [MCCSE2016A04]
- SDUST Research Fund [2018TDJH101]
The estimate of Mittag-Leffler function has been widely applied in the dynamic analysis of fractional-order systems in some recently published papers. In this paper, we show that the estimate for Mittag-Leffler function is not correct. First, we point out the mistakes made in the estimation process of Mittag-Leffler function and provide a counterexample. Then, we propose some sufficient conditions to guarantee that part of the estimate for Mittag-Leffler function is correct. Meanwhile, numerical examples are given to illustrate the validity of the two newly established estimates.
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