This paper concerns on two types of integral boundary value problems of a nonlinear fractional differential system, ., nonlocal strip integral boundary value problems and coupled integral boundary value problems. With the aid of the monotone iterative method combined with the upper and lower solutions, the existence of extremal system of solutions for the above two types of differential systems is investigated. In addition, a new comparison theorem for fractional differential system is also established, which is crucial for the proof of the main theorem of this paper. At the end, an example explaining how our studies can be used is also given.

中文翻译：

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具有偏差变元的非线性分数微分系统的两类积分边值问题的单调迭代方法。

本文涉及非线性分数阶微分系统的两种类型的积分边值问题， ，非局部条积分边界值问题和耦合积分边界值问题。借助于单调迭代方法，结合上下解，研究了上述两种类型的微分系统解的极值系统的存在。此外，还建立了分数阶微分系统的新比较定理，这对于证明本文的主要定理至关重要。最后，还给出了一个示例说明我们的研究如何使用。