aspg-21-3613-1791475345 20261008160225 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 1 Ahlam Fallatah Department of Mathematics, College of Sciences, Taibah University, Madinah, Saudi Arabia Tariq Al-Hawary Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816, Jordan Mourad Oqla Massa’deh Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816, Jordan Feras Yousef Department of Mathematics, The University of Jordan, Amman 11942, Jordan; Department of Mathematics, Hampton University, Hampton, VA 23669, USA The aim of this paper is to investigate various subfamilies of analytic functions to find inclusion properties, and necessary and sufficient conditions for the Rabotnov function to be in these subfamilies. Furthermore, several corollaries will be implied from our main results. 2025 33 39 3613 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260103 https://www.americaspg.com/journal/21/article/3613 https://www.americaspg.com/storage/31740123209.pdf