A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems
| dc.contributor.author | Karapinar, E. | |
| dc.contributor.author | Sevinik-Adiguzel, R. | |
| dc.contributor.author | Aksoy, U. | |
| dc.contributor.author | Erhan, I. M. | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2025-07-06T00:27:02Z | |
| dc.date.available | 2025-07-06T00:27:02Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example. | en_US |
| dc.identifier.doi | 10.30546/1683-6154.24.2.2025.235 | |
| dc.identifier.issn | 1683-3511 | |
| dc.identifier.issn | 1683-6154 | |
| dc.identifier.scopus | 2-s2.0-105006525641 | |
| dc.identifier.uri | https://doi.org/10.30546/1683-6154.24.2.2025.235 | |
| dc.language.iso | en | en_US |
| dc.publisher | Institute of Applied Mathematics of Baku State University | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | Comparison Function | en_US |
| dc.subject | Q-Difference Equations | en_US |
| dc.subject | Quantum Calculus | en_US |
| dc.subject | Ulam-Hyers Stability | en_US |
| dc.title | A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Karapınar, Erdal | |
| gdc.author.institutional | Karapınar, Erdal | |
| gdc.author.institutional | Aksoy, Ümit | |
| gdc.author.institutional | Erhan, İnci | |
| gdc.author.scopusid | 16678995500 | |
| gdc.author.scopusid | 49864511100 | |
| gdc.author.scopusid | 24402879000 | |
| gdc.author.scopusid | 6507345917 | |
| gdc.author.wosid | Erhan, Inci/Hlh-1268-2023 | |
| gdc.author.wosid | Sevinikadiguzel, Rezan/Kma-1274-2024 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Karapinar E.] Department of Mathematics, Atılım University, Incek, Ankara, 06830, Turkey, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan; [Sevinik Adıgüzel R.] Department of Mathematics, Atılım University, Incek, Ankara, 06830, Turkey; [Aksoy Ü.] Department of Mathematics, Atılım University, Incek, Ankara, 06830, Turkey; [Erhan İ.M.] Department of Computer Engineering, Aydın Adnan Menderes University, Aydın, Turkey | en_US |
| gdc.description.endpage | 249 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 235 | en_US |
| gdc.description.volume | 24 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:001530020800004 | |
| gdc.scopus.citedcount | 0 | |
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