A quick sneak-peek at the $s$-fractional Laplacian operator

TL;DR

This paper provides heuristic insights into the fractional Laplacian operator, aiming to broaden researchers' understanding and inspire further exploration in this mathematical area.

Contribution

It offers heuristic arguments that clarify the fractional Laplacian's properties, enhancing intuition for researchers new to this operator.

Findings

Heuristic explanations of the fractional Laplacian

Insights into the operator's mathematical structure

Potential for expanding research perspectives

Abstract

The short note here is to give a few heuristic arguments on the weird looking fractional Laplacian operator. This is certainly going to expand the vision of a reader who is looking to develope a taste for research in this direction.