英文标题：
《Dynamic intersectoral models with power-law memory》
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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：
Intersectoral dynamic models with power-law memory are proposed. The equations of open and closed intersectoral models, in which the memory effects are described by the Caputo derivatives of non-integer orders, are derived. We suggest solutions of these equations, which have the form of linear combinations of the Mittag-Leffler functions and which are characterized by different effective growth rates. Examples of intersectoral dynamics with power-law memory are suggested for two sectoral cases. We formulate two principles of intersectoral dynamics with memory: the principle of changing of technological growth rates and the principle of domination change. It has been shown that in the input-output economic dynamics the effects of fading memory can change the economic growth rate and dominant behavior of economic sectors.
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中文摘要：
提出了具有幂律记忆的区间动力学模型。推导了用非整数阶Caputo导数描述记忆效应的开放和闭合交叉模型的方程。我们建议这些方程的解，其形式为Mittag-Leffler函数的线性组合，并且具有不同的有效增长率。对于两个部门案例，提出了具有幂律记忆的部门间动力学示例。我们建立了具有记忆的部门间动力学的两个原理：技术增长率变化原理和支配变化原理。研究表明，在投入产出经济动态中，记忆衰退的效应可以改变经济增长率和经济部门的主导行为。
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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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