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Stability analysis and solutions of fractional boundary value problem on the cyclopentasilane graph
Guotao Wang1, Hualei Yuan1, Dumitru Baleanu2,3
1School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030031, China.
Abstract:
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.
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