发表机构
International Telematic University Uninettuno; University of Bologna(uninettuno国际远程大学; 博洛尼亚大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文通过分析焦尔吉在亥维赛德开创的微分方程解的符号表示研究框架、分数阶导数分析等方面的贡献,凸显其在数学物理运算方法发展中的历史作用。
AI 中文摘要
本文探讨乔瓦尼·焦尔吉教授(1871-1950)在数学物理运算方法发展中发挥的历史作用。现有文献中对其科学贡献的分析多聚焦于MKSΩ制及其在电气工程领域的贡献,本文从达里奥·格拉菲教授(1905-1990)撰写的讣告出发,详细分析焦尔吉在数学物理领域的贡献,尤其是在亥维赛德(1850-1925)开创的、用于获取物理问题中微分方程解的符号表示的研究框架内的贡献。此外,本文强调焦尔吉在分析任意实阶导数(即分数阶导数,采用现行符号)方面鲜为人知的贡献。本注记的主要目的是凸显焦尔吉在运算方法数学基础领域的历史相关性,该基础与应用物理中出现的具体问题的求解相关。
英文摘要
In this paper we discuss the historical role played by Prof. Giovanni Giorgi (1871-1950) in the development of operational methods in mathematical physics. In the literature, the analysis of the scientific contributions of Giorgi is discussed in many historical papers mainly about the $MKSΩ$-system and its contributions in the field of electrical engineering. Starting from the obituary written by Prof. Dario Graffi (1905-1990), here we analyze in detail the contributions given by Giorgi in mathematical physics, especially in the framework of the studies started by Heaviside (1850-1925) in order to obtain a symbolic representation of the solutions of differential equations emerging in physical problems. \\ Moreover, we underline the little known contribution of Giorgi to the analysis of derivatives of any real order, namely fractional derivatives, according to the present notation. \\ The main aim of this note is to underline the historical relevance of Giorgi in the mathematical foundations of operational methods in relation to the solutions of concrete problems emerging in applied physics.