Bas, ErdalBaleanu, DumitruOzarslan, Ramazan2021-02-012025-09-182021-02-012025-09-182020Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru (2020). "Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative", Chaos, Vol. 30, No. 3.1054-15001089-7682https://doi.org/10.1063/1.5131167https://hdl.handle.net/20.500.12416/11619Ozarslan, Ramazan/0000-0002-2275-8061We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the representation of solutions by means of rho-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different alpha fractional orders and real rho values. Published under license by AIP Publishing.eninfo:eu-repo/semantics/closedAccessArticle10.1063/1.51311672-s2.0-85082709024