Sakar, Mehmet GiyasSaldir, OnurAkgul, Ali2025-05-102025-05-1020190369-82032250-176210.1007/s40010-018-0488-42-s2.0-85058196703https://doi.org/10.1007/s40010-018-0488-4https://hdl.handle.net/20.500.14720/11455In this research, numerical solution of boundary value problem of fractional Bagley-Torvik equation is given in the reproducing kernel space. The central point of this approach is to set up a new reproducing kernel Hilbert space (RKHS) that satisfies the boundary conditions. Predicated on the properties of the RKHS, a new approach is applied to obtain precise numerical approximation. The results shows that a new approach is very effective and convenient for large interval.eninfo:eu-repo/semantics/closedAccessBagley-Torvik EquationBoundary Value ProblemReproducing Kernel SpaceArticle893Q4Q3539545WOS:000486328300011