英文标题：
《Economic interpretation of fractional derivatives》
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作者：
Valentina V. Tarasova, Vasily E. Tarasov
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最新提交年份：
2017
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英文摘要：
An economic interpretation of the Caputo derivatives of non-integer orders is proposed. The suggested economic interpretation of the fractional derivatives is based on a generalization of average and marginal values of economic indicators. We formulate an economic interpretation by using the concept of the T-indicator that allows us to describe economic processes with memory. The standard average and marginal values of indicator are special cases of the proposed T-indicator, when the order is equal to zero and one, respectively. The fractional derivatives are interpreted as economic characteristics (indicators) that are intermediate between the standard average and marginal values of indicators.
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中文摘要：
提出了非整数阶Caputo导数的一种经济学解释。分数阶导数的建议经济解释基于对经济指标平均值和边际值的概括。我们通过使用T指标的概念来制定经济解释，这使我们能够用记忆来描述经济过程。当阶数分别等于0和1时，指标的标准平均值和边际值是拟议T指标的特例。分数导数被解释为介于指标的标准平均值和边际值之间的经济特征（指标）。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：Economics 经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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一级分类：Mathematics 数学
二级分类：Classical Analysis and ODEs 经典分析与颂歌
分类描述：Special functions, orthogonal polynomials, harmonic analysis, ODE\'s, differential relations, calculus of variations, approximations, expansions, asymptotics
特殊函数、正交多项式、调和分析、Ode、微分关系、变分法、逼近、展开、渐近
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