A numerical study on solving a fractional time-space diffusion equation via the finite difference method

This paper aims in developing the finite difference scheme for riemann liouville space fractional diffusion equation and caputo fabrizio time fractional derivative with a Dirichlet BCs. The prove for scheme to be unconditionally stable and also convergent is been discussed, and the convergence order of our scheme is \(O\left( \Delta t^{2}+h^2\right) \) $O\left(\mathrm{\Delta },t^2,+,h^2\right)$ . Further, an application example in terms of numerical results is solved and graphs simulated using Matlab.