Stability analysis and solutions of fractional boundary value problem on the cyclopentasilane graph

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...

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Bibliographic Details
Published inHeliyon Vol. 10; no. 12; p. e32411
Main Authors Wang, Guotao, Yuan, Hualei, Baleanu, Dumitru
Format Journal Article
LanguageEnglish
Published England Elsevier Ltd 30.06.2024
Elsevier
Subjects
Cyclopentasilane graph
Existence
Fixed point theorem
Fractional conformable derivative
Ulam stability
Cyclopentasilane graph
Fixed point theorem
Ulam stability
Fractional conformable derivative
Existence
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Summary: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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ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2024.e32411