In this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term. By establishing new mixed monotone fixed point theorems, we prove these problems to have a unique solution, and we construct the corresponding iterative sequences to approximate the unique solution.

中文翻译：

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一类带有导数项的分数阶多点边值问题的近似解的存在性

在本文中，我们考虑了一类带有导数项和非线性算子项的分数阶边值问题。通过建立新的混合单调不动点定理，我们证明了这些问题具有唯一解，并构造了相应的迭代序列以逼近唯一解。