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We provide sharp error bounds for the difference between the transitiondensities of some multidimensional Continuous Time Markov Chains (CTMC) and thefundamental solutions of some fractional in time Partial (Integro) DifferentialEquations (P(I)DEs). Namely, we consider equations involving a time fractionalderivative of Caputo type and a spatial operator corresponding to the generatorof a non degenerate Brownian or stable driven Stochastic Differential Equation(SDE).

Weak Error for Continuous Time Markov Chains Related to Fractional in Time P(I)DEs