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

Wang, Guotao; Yuan, Hualei; Baleanu, Dumitru

Wang, Guotao; Yuan, Hualei; Baleanu, Dumitru.

Afiliación

Wang G; School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030031, China.
Yuan H; School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030031, China.
Baleanu D; Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Balgat, 06530, Ankara, Turkey.

Heliyon ; 10(12): e32411, 2024 Jun 30.

Article en En | MEDLINE | ID: mdl-38975069

ABSTRACT

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.

Palabras clave

Cyclopentasilane graph; Existence; Fixed point theorem; Fractional conformable derivative; Ulam stability

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Heliyon Año: 2024 Tipo del documento: Article País de afiliación: China Pais de publicación: Reino Unido

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