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

Kaouther Bouchama2022-03-032022-03-032022http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/28104In this paper, a numerical approximation solution of a space-time fractional di usion 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 di erent examples.THE NUMERICAL SOLUTION OF THE SPACE-TIME FRACTIONAL DIFFUSION EQUATION INVOLVING THE CAPUTO-KATUGAMPOLA FRACTIONAL DERIVATIVE.Article