Toprakseven, Şuayip2020-01-292020-01-292019Toprakseven, Ş. (2019). The Existence Of Positive Solutıons and a Lyapunov Type Inequality for Boundary Value Problems Of The Fractional Caputo-Fabrizio Differential Equations. Sigma: Journal Of Engineering & Natural Sciences/Mühendislik Ve Fen Bilimleri Dergisi, 37(4).1125-1133.https://hdl.handle.net/11494/1920In this paper, a Lyapunov-type inequality and the existence of the positive solutions for boundary value problems of the nonlinear fractional Caputo-Fabrizio differential equation have been presented. By using the Guo Krasnoselskii's fixed point theorem on cone and the properties of the associated Green's function, we prove the existence of the positive solution. Finally, we gave some numerical examples to validate the theoretical findings.eninfo:eu-repo/semantics/openAccessLyapunov-type inequalityFractional Caputo-Fabrizio derivativeGreen’s functionPositive solutionFixed pointArticle37411251133N/A