Akgul, AliBaleanu, Dumitru2024-12-242024-12-2420211687-1847https://doi.org/10.1186/s13662-021-03304-0https://hdl.handle.net/20.500.12604/7312In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative. We investigate the stability and obtain a stability condition for the new derivative.eninfo:eu-repo/semantics/openAccessArticle20211Q1WOS:000624473700012N/A2-s2.0-8510173660610.1186/s13662-021-03304-0