In this chapter, we consider a randomly-scaled Gaussian process and discuss a number of applications to model fractional diffusion. Actually, this approach can be understood as a Gaussian diffusion in a medium characterized by a population of scales. This interpretation supports the idea that fractional diffusion emerges from standard diffusion occurring in a complex medium.BERC 2014-2017 (Basque Government); BCAM Severo Ochoa excellence accreditation SEV-2013-0323 (Spanish Ministry of Economy and Competitiveness MINECO)
In this contribution we show that fractional diffusion emerges from a simple Markovian Gaussian rand...
We introduce a fractional stochastic equation for driven interfaces in random media, in wh...
How does a systematic time-dependence of the diffusion coefficient D(t) affect the ergodic and stati...
We present a modelling approach for diffusion in a complex medium characterized by a random lengthsc...
In the present Short Note an idea is proposed to explain the emergence and the observation of proces...
Normal or Brownian diffusion is historically identified by the linear growth in time of the variance...
We present a variety of models of random walk, discrete in space and time, suitable for simulating r...
A fractional normal inverse Gaussian (FNIG) process is a fractional Brownian motion subordinated to ...
Summary Experimental results [4], showed that solute spreading in saturated heterogeneous porous med...
This book is devoted to a number of stochastic models that display scale invariance. It primarily fo...
In biological contexts, experimental evidence suggests that classical diffusion is not the best desc...
A physical-mathematical approach to anomalous diffusion may be based on generalized diffusion equati...
It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in ...
We present a fractional diffusion equation involving external force fields for transport phenomena i...
<p>Representation of the continuum of fractal processes, with: the two families of fractional Gaussi...
In this contribution we show that fractional diffusion emerges from a simple Markovian Gaussian rand...
We introduce a fractional stochastic equation for driven interfaces in random media, in wh...
How does a systematic time-dependence of the diffusion coefficient D(t) affect the ergodic and stati...
We present a modelling approach for diffusion in a complex medium characterized by a random lengthsc...
In the present Short Note an idea is proposed to explain the emergence and the observation of proces...
Normal or Brownian diffusion is historically identified by the linear growth in time of the variance...
We present a variety of models of random walk, discrete in space and time, suitable for simulating r...
A fractional normal inverse Gaussian (FNIG) process is a fractional Brownian motion subordinated to ...
Summary Experimental results [4], showed that solute spreading in saturated heterogeneous porous med...
This book is devoted to a number of stochastic models that display scale invariance. It primarily fo...
In biological contexts, experimental evidence suggests that classical diffusion is not the best desc...
A physical-mathematical approach to anomalous diffusion may be based on generalized diffusion equati...
It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in ...
We present a fractional diffusion equation involving external force fields for transport phenomena i...
<p>Representation of the continuum of fractal processes, with: the two families of fractional Gaussi...
In this contribution we show that fractional diffusion emerges from a simple Markovian Gaussian rand...
We introduce a fractional stochastic equation for driven interfaces in random media, in wh...
How does a systematic time-dependence of the diffusion coefficient D(t) affect the ergodic and stati...