Anomalous diffusion of drug release from a slab matrix: Fractional diffusion models

Novel chitosan/diclofenac coatings on medical grade stainless steel for hip replacement applications

“…For this purpose, we applied several models to describe the respective release profiles according to909192. The authors of the present study have studied different materials and their release performances before589394959697.…”

Numerical scheme for one-phase 1D fractional Stefan problem using the similarity variable technique

“…This problem is here formulated so as to describe the solute transfer which does not obey the classical diffusion equation with classical Stefan condition [3,7,8]. This and other practical applications of the fractional calculus approach to moving boundary problems [1-3, 7, 8] indicate that there is a need to develop numerical methods to determine the solution and characteristics of the process such as the value of parameter p, defining the movement of the phase interface.…”

“…In recent years, mathematical models containing fractional differential equations were applied to model such processes as: heat transport in materials with a complex structure [1,2], controlled release of a drug from slab matrices [3][4][5][6][7][8][9] and movement of the shoreline in a sedimentary ocean basin [10]. Exact solutions are known for certain special models, including the case of a linear equation with constant diffusivity.…”

Numerical scheme for the one-phase 1D Stefan problem using curvilinear coordinates

“…Most of these problems can only be solved using numerical methods. The motivation of the proposed approach is its further application to fractional versions of the Stefan problem [11][12][13][14]. In the literature certain exact solutions to some simple cases of this problem were developed.…”