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摘要翻译：
本文利用广义共形导数Katugampola(KGCD)对Solow-Swan经济增长模型进行了数学分析。为此，在相同的Solow-Swan模型的假设下，对Inada条件进行了扩展，对于本文所示的新模型，这取决于KGCD的阶数。在无迁移和负迁移的情况下，用这种导数得到的资本(k)和人均生产(y)的封闭解的收敛速度中，这种阶数起着重要的作用。我们用KGCD对模型的方法在Solow-Swan模型中添加了一个新的参数，KGCD的顺序，而不是一个新的状态变量。此外，我们对该参数提出了几种可能的经济解释。
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英文标题：
《Katugampola Generalized Conformal Derivative Approach to Inada
Conditions and Solow-Swan Economic Growth Model》
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作者：
G. Fern\'andez-Anaya, L. A. Quezada-T\'ellez, B. Nu\~nez-Zavala and D.
Brun-Battistini
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最新提交年份：
2019
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分类信息：
一级分类：Economics 经济学
二级分类：Theoretical Economics 理论经济学
分类描述：Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
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一级分类：Mathematics 数学
二级分类：Dynamical Systems 动力系统
分类描述：Dynamics of differential equations and flows, mechanics, classical few-body problems, iterations, complex dynamics, delayed differential equations
微分方程和流动的动力学，力学，经典的少体问题，迭代，复杂动力学，延迟微分方程
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英文摘要：
This article shows a new focus of mathematic analysis for the Solow-Swan economic growth model, using the generalized conformal derivative Katugampola (KGCD). For this, under the same Solow-Swan model assumptions, the Inada conditions are extended, which, for the new model shown here, depending on the order of the KGCD. This order plays an important role in the speed of convergence of the closed solutions obtained with this derivative for capital (k) and for per-capita production (y) in the cases without migration and with negative migration. Our approach to the model with the KGCD adds a new parameter to the Solow-Swan model, the order of the KGCD and not a new state variable. In addition, we propose several possible economic interpretations for that parameter.
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PDF链接：
https://arxiv.org/pdf/1907.00130
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