Karakus, FatmaYayli, Yusuf2025-03-232025-03-2320160188-70091661-4909https://doi.org/10.1007/s00006-015-0618-xhttps://hdl.handle.net/11486/7020In this paper Fermi-Walker derivative and Fermi-Walker parallelism and non-rotating frame concepts are given along the curve lying on the spacelike surface and the timelike surface in Minkowski 3-space. First, we consider a curve lying on the spacelike surface and investigate the Fermi-Walker derivative along the curve. The concepts which Fermi-Walker derivative and its theorems are analyzed along the curve lying on the spacelike surface in Minkowski 3-space. And then we consider a curve lying on the timelike surface and investigate the Fermi-Walker derivative along the curve.eninfo:eu-repo/semantics/closedAccessFermi-Walker derivativeFermi-Walker parallelismNon-rotating frameSpacelike curveSpacelike surfaceTimelike curveTimelike surfaceDarboux frameDarboux vectorArticle26261362410.1007/s00006-015-0618-x2-s2.0-84945277421Q3WOS:000376414600007Q2