Baleanu, DumitruMohammadi, HakimehRezapour, Shahram2020-04-032020-04-032013Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram, "On a nonlinear fractional differential equation on partially ordered metric spaces", Advances In Difference Equations, (2013)1687-1847http://hdl.handle.net/20.500.12416/2876In 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/openAccessBoundary-Value-ProblemsPositive SolutionsExistenceArticle10.1186/1687-1847-2013-83