This manuscript aims to investigate wormhole geometry in Finsler space-time with non-commutative geometry admitting conformal motion. In non-commutative geometry, the point-like structure of gravitational sources is replaced by the smeared object under Lorentzian distribution. We obtained the shape function by utilizing a conformal Killing vector, which satisfies all the conditions to get a wormhole solution. The Finslerian worm- hole solution is analyzed in the light of energy conditions to determine its validity, and the result can also be visualized graphically. Further, the Tolman-Oppenheimer-Volkoff (TOV) equation is used to examine the wormhole stability and graphically found that our wormhole solutions are stable. Furthermore, we explore the anisotropic parameter to investigate the wormhole’s behavior.
Sanjay et al. (Wed,) studied this question.