Zhao, Wei Positive solutions of multi-point boundary value problem for a class of fractional differential equations. (Chinese. English summary) Zbl 1463.34113 J. Sichuan Norm. Univ., Nat. Sci. 43, No. 3, 326-332 (2020). Summary: In this paper, we discuss one class of fractional differential equations with multi-point boundary value problem. First, we study the Green function and obtain its properties. Second, we construct a special cone and get the existence of positive solutions under some conditions concerning the first eigenvalue of the relevant linear operator by using fixed point index theory. Finally, an example is given for the application of the theorem. MSC: 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34A08 Fractional ordinary differential equations 34B27 Green’s functions for ordinary differential equations 47N20 Applications of operator theory to differential and integral equations Keywords:fractional differential equation; multi-point boundary value problem; Green function; positive solution; fixed point index PDFBibTeX XMLCite \textit{W. Zhao}, J. Sichuan Norm. Univ., Nat. Sci. 43, No. 3, 326--332 (2020; Zbl 1463.34113) Full Text: DOI