Siddique, ImranAkgul, AliKahsay, Hafte AmsaluTsegay, Teklay HailayWubneh, Kahsay Godifey2024-12-242024-12-2420212314-88962314-8888https://doi.org/10.1155/2021/7082262https://hdl.handle.net/20.500.12604/7239In this paper, we investigate the implementations of newly introduced nonlocal differential operators as convolution of power law, exponential decay law, and the generalized Mittag-Leffler law with fractal derivative in fluid dynamics. The new operators are referred as fractal-fractional differential operators. The governing equations for the problem are constructed with the fractal-fractional differential operators. We present the stability analysis and the error analysis.eninfo:eu-repo/semantics/openAccessArticle2021Q2WOS:000780976800003Q12-s2.0-8511895767710.1155/2021/7082262