A number of recent experiments sugg

A number of recent experiments suggested that the fractional-order derivatives are more suitable for describing some practical phenomena than the traditional integer-order derivatives. In recent years, fractional calculus and derivatives have encountered big success in modeling problems in many fields of science. For instance, example applications include viscoelastic materials[3,4], network traffic [5], semiconductors [6,7], random-walk models [8,9], and volatility models in finance [10]. In particular, fractional models are believed to be more realistic in describing anomalous diffusion in heterogeneous porous media.