  In this paper, random and stochastic processes are defined on fractal curves.
Fractal calculus is used to define cumulative distribution function,
probability density function, moments, variance and correlation function of
stochastic process on fractal curve. A new framework which is a generalization
of mean square calculus is formulated. Sequence of random variable on fractal
curve, fractal mean square continuity, mean square $F^{\alpha}$-derivative, and
fractal mean square integral. The mean square solution of a fractal stochastic
equation is derived and plotted in order to show the details.
