Akgul, AliBaleanu, Dumitru2024-12-242024-12-2420242008-949Xhttps://doi.org/10.22436/jmcs.033.04.02https://hdl.handle.net/20.500.12604/7618This article examines a recently created proportional Caputo-Fabrizio derivative. We find multiple significant relationships between the beta function and this new derivative. Discreteization is applied to the new derivative. We consider stability analysis to define a stability requirement for the new derivative.eninfo:eu-repo/semantics/openAccessConstant proportional Caputo-Fabrizio derivativestability analysisdiscretizationArticle334339351N/AWOS:001164718200001Q12-s2.0-8518717212310.22436/jmcs.033.04.02