Subordination and memory dependent kinetics in diffusion and relaxation phenomena

Abstract

The concept of subordination, originally introduced in the probability and stochastic processes theories, has also appeared in analysis of evolution equations. So it is not surprising that we meet it in physics of complex systems, in particular when study equations describing diffusion and dielectric relaxation phenomena. Grace to intuitively understood decomposition of complex processes into their simpler and better known components, called parent and leading processes, subordination formalism enables us to attribute physical interpretation to integral decompositions representing plethora of solutions to anomalous diffusion and relaxation problems.