Wang Guotao, Yuan Hualei, Baleanu Dumitru
School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030031, China.
Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Balgat, 06530, Ankara, Turkey.
Heliyon. 2024 Jun 10;10(12):e32411. doi: 10.1016/j.heliyon.2024.e32411. eCollection 2024 Jun 30.
The study is being applied to a model involving silane and on cyclopentasilane graph. We consider a graph with labeled vertices by 0 or 1 inspired by the molecular structure of cyclopentasilane. In this paper, we first study the existence of solutions to fractional conformable boundary value problem on the cyclopentasilane graph by applying Scheafer and Krasnoselskii fixed point theorems. Furthermore, we investigate different kinds of Ulam stability such as Ulam-Hyers stable, generalized Ulam-Hyers stable, Ulam-Hyers-Rassias stable and generalized Ulam-Hyers-Rassias stable for the given problem. Finally, we give an example to support our important results.
该研究正应用于一个涉及硅烷和环戊硅烷图的模型。受环戊硅烷分子结构的启发，我们考虑一个顶点由0或1标记的图。在本文中，我们首先通过应用谢弗不动点定理和克拉索夫斯基不动点定理，研究环戊硅烷图上分数阶适形边值问题解的存在性。此外，我们研究了给定问题的不同类型的乌拉姆稳定性，如乌拉姆 - 海尔斯稳定、广义乌拉姆 - 海尔斯稳定、乌拉姆 - 海尔斯 - 拉西亚斯稳定和广义乌拉姆 - 海尔斯 - 拉西亚斯稳定。最后，我们给出一个例子来支持我们的重要结果。
