Centennial jubilee of Academician Rabotnov and contemporary handling of his fractional operator

被引:0
作者
Yury A. Rossikhin
Marina V. Shitikova
机构
[1] Voronezh State University of Architecture and Civil Engineering,Research Center on Dynamics of Solids and Structures
来源
Fractional Calculus and Applied Analysis | 2014年 / 17卷
关键词
fractional calculus; Rabotnov fractional exponential function; generalized Rabotnov fractional operator model; 01A60; 26A33; 33E12; 34A08; 74D05; 74G50;
D O I
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中图分类号
学科分类号
摘要
This note is dedicated to the centennial jubilee of the Russian Academician Yury Rabotnov, who was a pioneer in the application of fractional operators in Mechanics of Solids. In the present Note, the authors wish to present a contemporary handling of Rabotnov operators introduced in 1948 and to show their connectedness with fractional derivatives, what provides the ageless interest to his ideas and results.
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页码:674 / 683
页数:9
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