THE NUMERICAL SOLUTION OF THE SPACE-TIME FRACTIONAL DIFFUSION EQUATION INVOLVING THE CAPUTO-KATUGAMPOLA FRACTIONAL DERIVATIVE

摘要

In this paper, a numerical approximation solution of a space-time fractional diffusion equation (FDE), involving Caputo-Katugampola fractional derivative is considered. Stability and convergence of the proposed scheme are discussed using mathematical induction. Finally, the proposed method is validated through numerical simulation results of different examples.