THE NUMERICAL SOLUTION OF THE SPACE-TIME FRACTIONAL DIFFUSION EQUATION INVOLVING THE CAPUTO-KATUGAMPOLA FRACTIONAL DERIVATIVE.
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Date
2022
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Publisher
Université de M'sila
Abstract
In 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.