Differential equations of fractional order for description of diffusion in nanoporous media and control the processes of polymers deposition by electric field

The multidimensional diffusion within pectinate model is proved to be described by differential equations of fractional order. A solution of generalized diffusion equation of fractional order is obtained in time. Switching of electric current gives rise to two extreme cases depending on the ratio between diffusion time t and field time t E. Asymptotic solutions in both cases are found and their graphical representations are submitted. The obtained results have been used for control the processes of polymers deposition in nanoporious matereials.