Based on the theory of lower and upper solutions, we study the monotone iterative method for the nonlinear integral boundary value problems of fractional p -Laplacian equations with delay, which involves both Riemann–Liouville derivative and Caputo derivative. Some new results on the existence of positive solutions are established and the iterative methods for finding approximate solutions of the boundary value problem are obtained. Finally, two examples are given out to illustrate the numerical solution and the related graphic simulations are also provided.

中文翻译：

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分数阶p-Laplacian方程积分边值问题的单调迭代方法。

基于上下解的理论，我们研究了带延迟的分数阶p-Laplacian方程的非线性积分边值问题的单调迭代方法，该方法涉及Riemann-Liouville导数和Caputo导数。建立了关于正解存在性的一些新结果，并找到了寻找边界值问题近似解的迭代方法。最后，给出了两个例子来说明数值解，并提供了相关的图形模拟。