Pythagorean fuzzy sets (PFSs), an extension of intuitionistic fuzzy sets (IFSs), inherit the
duality property of IFSs and have a more powerful ability than IFSs to model the obscurity in …

In this article, we present a survey of different types of random walk models with local and
non-local transitions on undirected weighted networks. We present a general approach by …

We review the recent use of functions of matrices in the analysis of graphs and networks,
with special focus on centrality and communicability measures and diffusion processes. Both …

We introduce non-local dynamics on directed networks through the construction of a
fractional version of a non-symmetric Laplacian for weighted directed graphs. Furthermore …

Here we study and compare nonlocal diffusion processes on networks based on two
different kinds of Laplacian operators. We prove that a nonlocal diffusion process on a …

Normal and anomalous diffusion are ubiquitous in many complex systems [1]. Here, we
define a time and space generalized diffusion equation (GDE), which uses fractional-time …

A fundamental feature for understanding the diffusion of innovations through a social group
is the manner in which we are influenced by our own social interactions. It is usually …

The coronavirus 2019 (COVID-19) respiratory disease is caused by the novel coronavirus
SARS-CoV-2 (severe acute respiratory syndrome coronavirus 2), which uses the enzyme …

In this paper we propose a method to compute the solution to the fractional diffusion
equation on directed networks, which can be expressed in terms of the graph Laplacian L as …

In a variety of practical applications, there is a need to investigate diffusion or reaction–
diffusion processes on complex structures, including brain networks, that can be modeled as …