线性粘弹性中分数阶微积分的历史回顾
An Historical Perspective on Fractional Calculus in Linear Viscoelasticity
摘要:
本文回顾了分数阶微积分在线性粘弹性中应用的早期贡献。所研究的时期涵盖了四十年,从20世纪30年代到70年代,作者来自西方和东方国家。对最新贡献的引用可在作者书籍的参考书目中找到。经出版商许可,本文转载了该书第3.5节:F。《分数阶微积分与线性粘弹性中的波》,帝国学院出版社-伦敦和世界科学出版社。c -新加坡,2010年。
英文摘要:
The article provides an historical survey of the early contributions on the applications of fractional calculus in linear viscoelasticty. The period under examination covers four decades, since 1930's up to 1970's and authors are from both Western and Eastern countries. References to more recent contributions may be found in the bibliography of the author's book. This paper reproduces, with Publisher's permission, Section 3.5 of the book: F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity, Imperial College Press - London and World Scienti?c - Singapore, 2010.
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