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首页> 外文期刊>Asian Journal of Control >SPECIAL ISSUE ON 'ADVANCES IN FRACTIONAL ORDER CONTROL AND ESTIMATION'
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SPECIAL ISSUE ON 'ADVANCES IN FRACTIONAL ORDER CONTROL AND ESTIMATION'

机译:关于“分数阶控制和估计的进展”的特殊问题

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摘要

Fractional calculus appears to be simultaneously a new and old research issue. The concept of fractional (or, more precisely, non integer) differentiation appeared first in a famous correspondence between the Marquise de L'Hospital and Leibnitz, in 1695. Many famous mathematicians such as Euler, Laplace, Abel, Liouville, and Riemann have further developed this area which, however, remained for centuries a purely theoretical topic, with little if any connection to practical problems of physics and engineering. In recent decades, non integer differentiation has become a more and more popular tool for modeling physical systems from diverse domains such as mechanics, electricity, chemistry, biology, economics, and many others.
机译:小数演算似乎同时是一个新的和古老的研究问题。分数(或更确切地说是非整数)微分的概念首先出现在侯爵夫人侯爵和莱布尼茨之间的著名往来书中,1695年。许多著名的数学家,例如欧拉,拉普拉斯,阿贝尔,利维尔和黎曼开发了这个领域,然而,这个领域仍然是一个纯粹的理论主题,与物理学和工程学的实际问题几乎没有联系。在最近的几十年中,非整数微分法已成为一种越来越流行的工具,用于对来自机械,电气,化学,生物学,经济学等众多领域的物理系统进行建模。

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