Sakar, Mehmet GiyasSaldir, OnurAkgul, Ali2024-12-242024-12-2420190369-82032250-1762https://doi.org/10.1007/s40010-018-0488-4https://hdl.handle.net/20.500.12604/6254In 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 spaceArticle893539545Q3WOS:000486328300011Q32-s2.0-8505819670310.1007/s40010-018-0488-4