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Browsing by Author "Yuan, Hualei"

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    Stability Analysis and Solutions of Fractional Boundary Value Problem on the Cyclopentasilane Graph
    (Cell Press, 2024) Wang, Guotao; Yuan, Hualei; Baleanu, Dumitru; Matematik
    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-HyersRassias stable for the given problem. Finally, we give an example to support our important results.
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    Stability Analysis, Existence and Uniqueness of Solutions for a Fractional Conformable P-Laplacian Coupled Boundary Value Problem on the Disilane Graph
    (Springer Basel Ag, 2024) Wang, Guotao; Yuan, Hualei; Baleanu, Dumitru; Matematik
    Disilane is an important inorganic compound, which is widely used in many fields. This study first focuses on investigating the existence and uniqueness of solutions to fractional conformable coupled boundary value problem with the p-Laplacian operator on the disilane graph. The fixed point theorem is used to analyze these results. Additionally, the study also discusses the Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability of the given problem. At the end of this paper, some examples are presented to illustrate the obtained theorems.