Ranking the scientific output of researchers in fractional calculus

Author:

Machado J. A. Tenreiro1,Lopes António M.2

Affiliation:

1. Institute of Engineering , Polytechnic of Porto Dept. of Electrical Engineering 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

Abstract

Abstract This paper analyses the citation profiles (CP) of 130 researchers in fractional calculus. In a first phase, the Canberra distance is used to measure the similarities between the researchers’ CP, and the multidimensional scaling technique (MDS) is adopted for processing and visualizing the information. In a second phase, the gamma probability distribution is used to fit the normalized CP and the gamma parameters are used to characterize the researchers. The MDS results and the gamma distribution parameters are represented graphically in 2- and 3-dimensional locus depicting the relative positions of the researchers.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

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