fractional probability distributions

Derivative and n−fold integral operators can be extended to upper dimensions. this paper aims to introduce a more general family of distributions generated by upper dimensions operators which called fractional probability distribution. to this end, after introducing a extended t-x distribution family, the s-t-x and the t-x-y families of distributions, we extend such families for any number of random variables x_k, k = 0, 1, ..., n, as the transformers or random variables t_k, k = 0, 1, ..., n , as the transformeds. fractional probabitity distributions come from taking n as a real number instead of integer number. several known continuous distributions presented as members of this family.