Golmankhaneh, Alireza KhaliliTunc, CemilSevli, Hamdullah2025-05-102025-05-1020211951-63551951-640110.1140/epjs/s11734-021-00316-52-s2.0-85118666255https://doi.org/10.1140/epjs/s11734-021-00316-5https://hdl.handle.net/20.500.14720/8449Sevli, Hamdullah/0009-0003-0258-031X; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163In this paper, we summarize the local fractal calculus, called F-alpha-calculus, which defines derivatives and integrals of functions with fractal domains of non-integer dimensions, functions for which ordinary calculus fails. Hyers-Ulam stability provides a method to find approximate solutions for equations where the exact solution cannot be found. Here, we generalize Hyers-Ulam stability to be applied to oi-order linear fractal differential equations. The nuclear decay law involving fractal time is suggested, and it is proved to be fractally Hyers-Ulam stable.eninfo:eu-repo/semantics/closedAccessArticle23021-22Q2Q238893894WOS:000716299700001