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.

中文翻译：

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一类具有p-Laplacian算子和奇异性的分数BVP的数值算法——收敛性和相关性分析

摘要 本文建立了具有p-Laplacian算子的高阶奇异分数边值问题模型正解的唯一性。该方程包括 Caputo 和 Riemann-Liouville 分数阶导数。边界条件包含 Riemann-Stieltjes 积分和非局部无限点边界条件。非线性项 f 和 h 在时间变量和空间变量上可能是奇异的。唯一性结果是通过混合单调算子的理论得到的。我们还讨论了解决方案对参数的依赖性。此外，两个例子通过数值分析说明了我们的主要结果。