@article{UYAR DÜLDÜL2024, 
author = {Bahar UYAR DÜLDÜL},
title = {On some new frames along a space curve and integral curves with Darboux q-vector fields in              E        3},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {17871-17885},
keywords = {q-frame, integral curve, osculating q-frame, normal q-frame, rectifying q-frame},
url = {https://www.sciopen.com/article/10.3934/math.2024869},
doi = {10.3934/math.2024869},
abstract = {In this paper, to start we defined osculating q-frame, normal q-frame, and rectifying q-frame along a space curve in Euclidean 3-space              E        3   by using the Darboux vector field of the q-frame. We obtained the derivative equations of these new frames. Later, we defined some new integral curves of a space curve and called them                      d            ¯        o  -direction curve,                      d            ¯        n  -direction curve and                      d            ¯        r  -direction curve. Finally, we gave some theorems and results related with these curves.}
}