Several approaches to the formulation of a fractional theory of calculus of “variable order”
have appeared in the literature over the years. Unfortunately, most of these proposals lack a …

We formulate a fractional master equation in continuous time with random transition
probabilities across the population of random walkers such that the effective underlying …

The issue, in two parts, is devoted to theoretical, computational and experimental studies of
transport phenomena in various complex systems (in porous and composite media; systems …

First-passage time statistics in disordered systems exhibiting scale invariance are studied
widely. In particular, long trapping times in energy or entropic traps are fat-tailed distributed …

In this paper, a pseudo‐operational collocation method based on Gegenbauer polynomials
is presented to solve a category of variable‐order time‐fractional integro‐partial differential …

An adaptive finite difference scheme for variable-order fractional-time subdiffusion equations
in the Caputo form is studied. The fractional-time derivative is discretized by the L1 …

The standard diffusion processes are known to be obtained as the limits of appropriate
random walks. These prelimiting random walks can be quite different, however. The …

The standard diffusion processes are known to be obtained as the limits of appropriate
random walks. These prelimiting random walks can be quite different, however. The …

An adaptive finite difference scheme for a class of variable-order fractional-time subdiffusion
equations is studied. The Caputo fractional time derivative is discretized by means of the L1 …