Resumen de Solution of the fractional diffusion equation by using Caputo-Fabrizio derivative: application to intrinsic arsenic diffusion in germanium (7 pages)
A. Souigat, Z. Korichi, M. Tayeb Meftah
In this work, we focused on solving the space-time fractional diffusion equation with an application on the intrinsic arsenic diffusion ingermanium. At first we have treated the differential equation in a semi-infinite medium by using Caputo-Fabrizio fractional derivative. Wehave introduced the Laplace transform to solve this type of equations. Secondly, Based on the obtained solution, we have simulated an profileof arsenic diffusion in germanium under intrinsic conditions. Accurate simulations have been achieved showing that the fractional derivativeorders affect on the estimation of the diffusion coefficient, where increasing the time fractional derivative orderαreduces the value of thediffusion coefficient, while increasing the space fractional derivative orderβincreases the value of the diffusion coefficient.
