Baleanu, DumitruSantra, Shyam SundarArulselvam, ManimaranBaleanu, DumitruGovindan, VediyappanKhedher, Khaled Mohamed2023-12-222023-12-222023Santra, Shyam Sundar...et.al. (2023). "General solution and generalized Hyers-Ulam stability for additive functional equations", Journal of Mathematics and Computer Science, Vol.29, No.4, pp.343-355.2008949Xhttps://hdl.handle.net/20.500.12416/6815In this paper, we introduce new types of additive functional equations and obtain the solutions to these additive functional equations. Furthermore, we investigate the Hyers-Ulam stability for the additive functional equations in fuzzy normed spaces and random normed spaces using the direct and fixed point approaches. Also, we will present some applications of functional equations in physics. Through these examples, we explain how the functional equations appear in the physical problem, how we use them to solve it, and we talk about solutions that are not used for solving the problem, but which can be of interest. We provide an example to show how functional equations may be used to solve geometry difficulties.eninfo:eu-repo/semantics/openAccessFuzzy Normed SpaceHyers-Ulam StabilityRandom Normed Space And Fixed PointArticle29434335510.22436/jmcs.029.04.04