ABSTRACT
This chapter presents basic definitions and properties of the fractional calculus and the general fractional calculus. A brief review of the simplified compartmental method with integer and fractional derivatives is presented. In the main part of the chapter the mathematical models for three concrete problems experimentally analyzed in Chapter 2 are presented. For these models the time evolution for the gentamicin release is presented and based on the obtained results, the values of the diffusion coefficient is determined. It is shown that the mathematical models based on the general fractional derivative of a specific type describe the experimental results very well.
