  In the article, the deformation of special relativity within the frame of
conformable derivative is formulated. Within this context, the two postulates
of the theory were re-stated. And, the addition of velocity laws were derived
and used to verify the constancy of the speed of light. The invariance
principle of the laws of physics is demonstrated for some typical illustrative
examples, namely, the conformable wave equation, the conformable Schrodinger
equation, and the conformable Gordon-Klein equation. The current formalism may
be applicable when using special relativity in a nonlinear or dispersive
medium.
