  This paper introduces the concept of Fractal Frenet equations, a set of
differential equations used to describe the behavior of vectors along fractal
curves. The study explores the analogue of arc length for fractal curves,
providing a measure to quantify their length. It also discusses fundamental
mathematical constructs, such as the analogue of the unit tangent vector, which
indicates the curve's direction at different points, and the analogue of
curvature vector or fractal curvature vector, which characterizes its curvature
at various locations. The concept of torsion, describing the twisting and
turning of fractal curves in three-dimensional space, is also explored.
Specific examples, like the fractal helix and the fractal snowflake, illustrate
the application and significance of the Fractal Frenet equations.
