Minkowski Geometry of Special Conformable Curves

This paper employs the fractional derivative to investigate the effect of curves in Lorentz–Minkowski space, which is of crucial significance in geometry and physics. In the method of examining this effect, the conformable fractional derivative is chosen because it best fits the algebraic structure of differential geometry. Therefore, with the aid of conformable fractional derivatives, numerous special curves and the Frenet frame that were previously derived using classical derivatives have been reinterpreted in Lorentz–Minkowski three-space.