Guo, Limin; Liu, Lishan; Feng, Yanqing Uniqueness of iterative positive solutions for the singular infinite-point \(p\)-Laplacian fractional differential system via sequential technique. (English) Zbl 1452.34012 Nonlinear Anal., Model. Control 25, No. 5, 786-805 (2020). Summary: By sequential techniques and mixed monotone operator, the uniqueness of positive solution for singular \(p\)-Laplacian fractional differential system with infinite-point boundary conditions is obtained. Green’s function is derived, and some useful properties of Green’ function are obtained. Based on these new properties, the existence of unique positive solutions is established, moreover, an iterative sequence and a convergence rate are given, which are important for practical application, and an example is given to demonstrate the validity of our main results. Cited in 8 Documents MSC: 34A08 Fractional ordinary differential equations 34A45 Theoretical approximation of solutions to ordinary differential equations 34B16 Singular nonlinear boundary value problems for ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B27 Green’s functions for ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations Keywords:fractional differential system; iterative positive solution; sequential techniques; mixed monotone operator; singular problem PDFBibTeX XMLCite \textit{L. Guo} et al., Nonlinear Anal., Model. Control 25, No. 5, 786--805 (2020; Zbl 1452.34012) Full Text: DOI References: [1] A. Cabada, Z. Hamdi, Nonlinear fractional differential equations with integral boundary value conditions,Appl. Math. Comput.,228(2012):251-257, 2014. · Zbl 1364.34010 [2] D. Guo, Y. Cho, J. 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