Abstract

Abstract In the paper, we establish the uniqueness of positive solutions for a model of higher-order singular fractional boundary value problems with p-Laplacian operator. The equation includes the Caputo and the Riemann-Liouville fractional derivative. The boundary conditions contain Riemann-Stieltjes integrals and nonlocal infinite-point boundary conditions. The nonlinear terms f and h may be singular on the time variable and space variables. The uniqueness result is obtained, by the theory of mixed monotone operators. We also discuss the dependence of solutions upon a parameter. Furthermore, two examples illustrate our main results via numerical analysis.

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