Golmankhaneh, Alireza KhaliliTunc, Cemil2025-05-102025-05-1020240960-07791873-288710.1016/j.chaos.2024.1154922-s2.0-85203253695https://doi.org/10.1016/j.chaos.2024.115492https://hdl.handle.net/20.500.14720/11284Tunc, Cemil/0000-0003-2909-8753; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163In this paper, we provide a comprehensive overview of fractal calculus and investigate the stability of both linear and non-linear fractal delay differential equations with fractal support. Our analysis encompasses the stability of the fractal Mackey-Glass equation as well as fractal differential equations with single and dual delays. Additionally, we introduce a predictor-corrector scheme to solve the fractal one-delay differential equation. Several examples are presented to illustrate the effects of fractal-order differentiation, which arise from the dimensionality of the fractal support, and the impact of fractal delays.eninfo:eu-repo/semantics/closedAccessFractal CalculusFractal Delay DifferentialStability Of The Fractal Mackey-GlassPredictor-Corrector SchemeArticle188Q1Q1WOS:001310821300001