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arXiv 1802.05441math.HO
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Niels Henrik Abel和分数阶微积分的诞生

Niels Henrik Abel and the birth of fractional calculus

I. Podlubny, R. L. Magin, I. Trymorush

摘要:

这是论文“尼尔斯·亨利克·阿贝尔和分数微积分的诞生”,Podlubny,I.,马金河L.,特里莫拉什岛,Fractional Calculus and Applied Analysis,vol.20,no.5,pp.1068-1075,2017(https://doi.org/10.1515/fca-2017-0057)及其补充。H、Oplosning af et par opgaver ved hjelp af bestemte integraler,Magazin for Naturvidenskaberne,Aargang I,Bind 2,Christiania,1823)and another important Abel's paper(Abel,N. H、Auflosung einer mechanischen ausgabe. Journal fur die Reine und Angewandte Mathematik,Bind I,153-157,Berlin,1826)。为了保持原有的味道和数学符号的历史发展,公式是按原来的方式打印。

英文摘要:

This is the paper "Niels Henrik Abel and the birth of fractional calculus", Podlubny, I., Magin, R. L., Trymorush I., Fractional Calculus and Applied Analysis, vol.20, no.5, pp.1068-1075, 2017 (https://doi.org/10.1515/fca-2017-0057) with the supplements to it. Hereby translation to English of the first part of the important Abel's paper (Abel, N. H., Oplosning af et par opgaver ved hjelp af bestemte integraler, Magazin for Naturvidenskaberne, Aargang I, Bind 2, Christiania, 1823) and another important Abel's paper (Abel, N. H., Auflosung einer mechanischen ausgabe. Journal fur die Reine und Angewandte Mathematik, Bind I, 153-157, Berlin, 1826) are provided. To preserve the original flavor and the historical development of mathematical notation, the formulas are typeset in the original manner.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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