Aracı, SerkanŞen, Erdoğan2022-05-112022-05-1120141598-7264https://hdl.handle.net/20.500.11776/7378The positive solutions under particular boundary circumstances arising from non-linear fractional differential equations were recently constructed [S. Zhang, Positive. Solutions for boundary-value problems of nonlinear fractional differential equations. Electron. J. Differ. Eq., Vol. 2006, 36, 1-12, 2006]. In this paper, we also discuss the existence and multiplicity of positive solutions for the following nonlinear fractional differential equation boundaryvalue problem (Equation Presented) where 2 < ? ? 3 is a real number, and D?0+ is the Caputo's fractional derivative, and f: [0,1] × [0,+?) ? [0,+?) is continuous. By using Krasnoesel'skii's fixed-point theorem on cones, we obtain various results on the existence of positive solutions of the boundary-value problem.eninfo:eu-repo/semantics/closedAccessBoundary-value problemCaputo's fractional derivativeFixed-point theoremFractional differential equationFractional green's functionPositive solutionArticle1722472582-s2.0-84901294323Q3