Affiliation:
1. BERG Faculty, Technical University of Kosice, B. Nemcovej 3, 04200, Kosice, Slovakia
Abstract
Abstract
In this short communication, an attempt is made to continue beyond paragraph 29 of Euler’s famous paper in Vol. 5 of Comment. Acad. Sci. Petropol. (1738), using his style of storytelling to extrapolate the audacity of his approach from fractional differentiation to fractional integration. To add the authenticity and the amusement to the imitation, the emulated paragraphs 30–32 are first presented in Latin version followed by the English translation.
This reconstruction aims to demonstrate that Euler could consider not only fractional differentiation, but also fractional-order integration and its inverse relationship with differentiation of the same fractional order.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Cited by
5 articles.
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