In this article, with due attention to a new labeling method for vertices of arbitrary graphs, we investigate the existence results for a novel modeling of the fractional multi-term boundary value problems on each edge of the graph representation of the Glucose molecule. In this direction, we consider a graph with labeled vertices by 0 or 1 inspired by the molecular structure of the Glucose molecule and then derive some existence results by applying two known fixed point theorems. Finally, we provide an example to illustrate the validity of our main result.

中文翻译：

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葡萄糖图上边值问题的新型建模

在本文中，在适当注意任意图形顶点的新标记方法的同时，我们研究了葡萄糖分子图形表示的每个边缘上分数阶多项式边值问题新型建模的存在结果。在这个方向上，我们考虑一个图，该图的顶点受葡萄糖分子的分子结构启发为0或1，然后通过应用两个已知的不动点定理得出一些存在结果。最后，我们提供一个例子来说明我们主要结果的有效性。