Yavuz, Ayse2024-02-232024-02-2320221402-92511776-0852https://doi.org/10.1007/s44198-022-00061-whttps://hdl.handle.net/20.500.12452/11527In this study, the position vector of a timelike curve p is stated by a linear combination of its Serret Frenet frame with differentiable functions. The definition of tangential dual curve of the curve p is stated by using these differentiable functions. Moreover, tangential torque curve of timelike curve p is defined and investigated. New dynamically and physical results are stated depending on the torque of the timelike curve p and the direction of the tangent vector component of the curve. Then, the position vector of a timelike W curve is again stated by differentiable functions. Therefore, solutions of differential equation of the position vector of timelike W curve with two different types depending on the values of curvature and torsion of timelike curve are obtained. By using the differentiable functions obtained as a result of these solutions, tangential dual and torque curve of the timelike W curve are obtained. Depending on the tangential dual and torque curve of the timelike W curve, results are given for two different cases separately.eninfo:eu-repo/semantics/openAccessPosition VectorTangential TorqueTangential Dual CurveTimelike W CurveArticle2948188422-s2.0-85131808342Q3WOS:000810853200001Q410.1007/s44198-022-00061-w