9bdf105b-0696-4691-abc3-5cd8340b359a20251113151203917wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS2224-28801109-276910.37394/23206http://wseas.org/wseas/cms.action?id=4051120202512020252410.37394/23206.2025.24https://wseas.com/journals/mathematics/2025.phpHamzaAlzaareerDepartment of Mathematics Al-Zaytoonah University Queen Alia Airport St 594, Amman 11733 JORDANHassanAl-ZoubiDepartment of Mathematics Al-Zaytoonah University Queen Alia Airport St 594, Amman 11733 JORDAN111320251113202563163462https://wseas.com/journals/mathematics/2025/b265106-034(2025).pdf10.37394/23206.2025.24.62https://wseas.com/journals/mathematics/2025/b265106-034(2025).pdfL. Nachbin, Elements of approximation theory, Van Nostrand, Princeton, 1967. K.-D. Bierstedt, Gewichtete Räume stetiger vektorwertiger Funktionen, Ph.D. Thesis, Johannes Gutenberg-Universität Mainz, 1971. 10.1007/bf02052753W. H. Summers, A general complex bounded case of the strict weighted approximation problem, Math. Ann. 192, 90–98 (1971). 10.1007/bf02414945J. B. Prolla, Weighted spaces of vector-valued continuous functions, Ann. Mat. Pura Appl. 89(4), 145–158 (1971). 10.1007/bf03322338L. Oubbi, Weighted algebras of continuous functions, Results Math. 24(3-4), 298–307 (1993). L. Oubbi, Weighted algebras of vector-valued continuous functions, Math. Nachr. 212, 117–133 (2000). H. Glöckner and K.-H. Neeb, Infinite-dimensional Lie groups, Vol. I, Springer, 2007. 10.4064/dm484-0-1B. Walter, Weighted diffeomorphism groups of Banach spaces, Dissertationes Mathematicae 484, Warszawa, 2012. N. Bourbaki, Topological Vector Spaces, Springer-Verlag, 1980. N. Bourbaki, H. Alzaareer, Lie group structures on groups of maps on non-compact manifolds, Ph.D. Thesis, Universität Paderborn, 2013. M. Mhailan et al., On fractional vector analysis, J. Math. Comput. Sci. 10, 2320–2326 (2020). I. Batiha et al., Tuning the fractional-order PID-controller for blood glucose, Int. J. Adv. Soft Comput. Appl. 13(2), 1–10 (2021). I. Batiha et al., Design fractional-order PID controller for robot arm, Int. J. Adv. Soft Comput. Appl. 14(2), 96–114 (2022).