Mohammadi, HakimehRezapour, ShahramBaleanu, Dumitru2020-04-032025-09-182020-04-032025-09-182013Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram, "On a nonlinear fractional differential equation on partially ordered metric spaces", Advances In Difference Equations, (2013)1687-1847https://doi.org/10.1186/1687-1847-2013-83https://hdl.handle.net/20.500.12416/11424Mohammadi, Hakimeh/0000-0002-7492-9782In this paper, by using a fixed point result on ordered metric spaces, we prove the existence and uniqueness of a solution of the nonlinear fractional differential equation (, ) via the periodic boundary condition , where and is a continuous increasing function and denotes the Caputo fractional derivative of order alpha. Also, we solve it by using the anti-periodic boundary conditions with and with and separately.eninfo:eu-repo/semantics/openAccessArticle10.1186/1687-1847-2013-832-s2.0-84890070921