Stability Analysis and Solutions of Fractional Boundary Value Problem on the Cyclopentasilane Graph
| dc.contributor.author | Wang, Guotao | |
| dc.contributor.author | Yuan, Hualei | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2025-05-11T17:06:10Z | |
| dc.date.available | 2025-05-11T17:06:10Z | |
| dc.date.issued | 2024 | |
| dc.description.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-HyersRassias stable for the given problem. Finally, we give an example to support our important results. | en_US |
| dc.description.sponsorship | Natural Science Foundation of Shanxi Province, China [20210302123339]; Graduate Research Innovation Program of Shanxi, China [2022Y497] | en_US |
| dc.description.sponsorship | This work was supported by the Natural Science Foundation of Shanxi Province, China (No. 20210302123339) and the Graduate Research Innovation Program of Shanxi, China (No. 2022Y497) . | en_US |
| dc.identifier.doi | 10.1016/j.heliyon.2024.e32411 | |
| dc.identifier.issn | 2405-8440 | |
| dc.identifier.scopus | 2-s2.0-85195550700 | |
| dc.identifier.uri | https://doi.org/10.1016/j.heliyon.2024.e32411 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9670 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cell Press | en_US |
| dc.relation.ispartof | Heliyon | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Cyclopentasilane Graph | en_US |
| dc.subject | Fractional Conformable Derivative | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Ulam Stability | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.title | Stability Analysis and Solutions of Fractional Boundary Value Problem on the Cyclopentasilane Graph | en_US |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Yuan, Hua-Lei/Gpg-3756-2022 | |
| gdc.author.wosid | Wang, Guotao/Aar-1198-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wang, Guotao; Yuan, Hualei] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030031, Shanxi, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 10 | en_US |
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| gdc.oaire.keywords | Q1-390 | |
| gdc.oaire.keywords | Fractional conformable derivative | |
| gdc.oaire.keywords | Science (General) | |
| gdc.oaire.keywords | Fixed point theorem | |
| gdc.oaire.keywords | Cyclopentasilane graph | |
| gdc.oaire.keywords | Ulam stability | |
| gdc.oaire.keywords | Existence | |
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