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Entropy 2017, 19(3), 127; doi:10.3390/e19030127

Fractional Jensen–Shannon Analysis of the Scientific Output of Researchers in Fractional Calculus

1
Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida 431, 4249-015 Porto, Portugal
2
UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal
*
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Received: 9 March 2017 / Revised: 14 March 2017 / Accepted: 15 March 2017 / Published: 17 March 2017
(This article belongs to the Special Issue Complex Systems and Fractional Dynamics)
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Abstract

This paper analyses the citation profiles of researchers in fractional calculus. Different metrics are used to quantify the dissimilarities between the data, namely the Canberra distance, and the classical and the generalized (fractional) Jensen–Shannon divergence. The information is then visualized by means of multidimensional scaling and hierarchical clustering. The mathematical tools and metrics allow for direct comparison and visualization of researchers based on their relative positioning and on patterns displayed in two- or three-dimensional maps. View Full-Text
Keywords: science metrics; fractional calculus; Canberra distance; generalized entropy; Jensen–Shannon divergence; multidimensional scaling; hierarchical clustering science metrics; fractional calculus; Canberra distance; generalized entropy; Jensen–Shannon divergence; multidimensional scaling; hierarchical clustering
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Machado, J.A.T.; Mendes Lopes, A. Fractional Jensen–Shannon Analysis of the Scientific Output of Researchers in Fractional Calculus. Entropy 2017, 19, 127.

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