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Continuous time random walks have random waiting times between particlejumps. We define the correlated continuous time random walks (CTRWs) thatconverge to fractional Pearson diffusions (fPDs). The jumps in these CTRWs areobtained from Markov chains through the Bernoulli urn-scheme model andWright-Fisher model. The jumps are correlated so that the limiting processesare not L\'evy but diffusion processes with non-independent increments. Thewaiting times are selected from the domain of attraction of a stable law

Correlated continuous time random walks and fractional Pearson diffusions