A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems

dc.authorscopusid 16678995500
dc.authorscopusid 49864511100
dc.authorscopusid 24402879000
dc.authorscopusid 6507345917
dc.contributor.author Karapinar, E.
dc.contributor.author Sevinik Adıgüzel, R.
dc.contributor.author Aksoy, Ü.
dc.contributor.author Erhan, İ.M.
dc.date.accessioned 2025-07-06T00:27:02Z
dc.date.available 2025-07-06T00:27:02Z
dc.date.issued 2025
dc.department Atılım University en_US
dc.department-temp [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
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. © 2025, Institute of Applied Mathematics of Baku State University. All rights reserved. en_US
dc.identifier.doi 10.30546/1683-6154.24.2.2025.235
dc.identifier.endpage 249 en_US
dc.identifier.issn 1683-3511
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-105006525641
dc.identifier.scopusquality Q1
dc.identifier.startpage 235 en_US
dc.identifier.uri https://doi.org/10.30546/1683-6154.24.2.2025.235
dc.identifier.uri https://hdl.handle.net/20.500.14411/10674
dc.identifier.volume 24 en_US
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Institute of Applied Mathematics of Baku State University en_US
dc.relation.ispartof Applied and Computational Mathematics en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 0
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

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