Li, Dongping; Chen, Fangqi; An, Yukun Positive solutions for a \(p\)-Laplacian type system of impulsive fractional boundary value problem. (English) Zbl 1462.34014 J. Appl. Anal. Comput. 10, No. 2, 740-759 (2020). Summary: In this paper, the aim is to discuss a class of \(p\)-Laplacian type fractional Dirichlet’s boundary value problem involving impulsive impacts. Based on the approaches of variational method and the properties of fractional derivatives on the reflexive Banach spaces, the existence results of positive solutions for our equations are established. Two examples are given at the end of each main result. Cited in 1 Document MSC: 34A08 Fractional ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B37 Boundary value problems with impulses for ordinary differential equations 58E50 Applications of variational problems in infinite-dimensional spaces to the sciences Keywords:fractional differential system; \(p\)-Laplacian operator; positive solution; variational method PDFBibTeX XMLCite \textit{D. Li} et al., J. Appl. Anal. Comput. 10, No. 2, 740--759 (2020; Zbl 1462.34014) Full Text: DOI References: [1] A. Ambrosetti and P. Rabinowitz,Dual variational methods in critical points theory and applications, J. Funct. Anal., 1973, 14, 349-381. · Zbl 0273.49063 [2] C. Bai,Existence of solutions for a nonlinear fractional boundary value problem via a local minimum theorem, Electron. J. Differ. Equ., 2016, 2012, 1-9. · Zbl 1254.34009 [3] G. Bonanno, R. Rodrguezpez and S. 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