Khashan, M. MotawiXavier, Gnanaprakasam Britto AntonyJarad, FahdMeganathan, MurugesanAbdeljawad, Thabet2022-03-222025-09-182022-03-222025-09-182021Meganathan, Murugesan...et al. (2021). "Analytic and numerical solutions of discrete Bagley-Torvik equation", Advances in Difference Equations, Vol. 2021, No. 1.1687-1847https://doi.org/10.1186/s13662-021-03371-3https://hdl.handle.net/20.500.12416/13804M, Meganathan/0000-0002-8807-6450In this research article, a discrete version of the fractional Bagley-Torvik equation is proposed: del(2)(h)u(t) + A(C)del(nu)(h) u(t) + Bu(t) = f (t), t > 0, (1) where 0 < nu < 1 or 1 < nu < 2, subject to u(0) = a and del(h)u(0) = b, with a and b being real numbers. The solutions are obtained by employing the nabla discrete Laplace transform. These solutions are expressed in terms of Mittag-Leffler functions with three parameters. These solutions are handled numerically for some examples with specific values of some parameters.eninfo:eu-repo/semantics/openAccessFractional CalculusDifference OperatorLaplace TransformBagley-Torvik EquationCaputo DerivativeArticle10.1186/s13662-021-03371-32-s2.0-85105231386