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

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.

Keywords

• science metrics
• fractional calculus
• Canberra distance
• generalized entropy
• Jensen–Shannon divergence
• multidimensional scaling
• hierarchical clustering