Wang, Tian; Hao, Zhaocai Existence and uniqueness of positive solutions for singular nonlinear fractional differential equation via mixed monotone operator method. (English) Zbl 1452.34015 J. Funct. Spaces 2020, Article ID 2354927, 9 p. (2020). Summary: In this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. By applying the fixed point theorem in cone, we get the existence and uniqueness of positive solutions for the fractional differential equation. Moreover, we give an example to demonstrate our main result. Cited in 3 Documents MSC: 34A08 Fractional ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B16 Singular nonlinear boundary value problems for ordinary differential equations 34A45 Theoretical approximation of solutions to ordinary differential equations 47N20 Applications of operator theory to differential and integral equations Keywords:positive solution; singular fractional differential equations; fixed point theorem PDFBibTeX XMLCite \textit{T. Wang} and \textit{Z. Hao}, J. Funct. Spaces 2020, Article ID 2354927, 9 p. 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