On the Solution of a Boundary Value Problem Associated With a Fractional Differential Equation
| dc.authorid | ERHAN, INCI M./0000-0001-6042-3695 | |
| dc.authorid | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| dc.authorid | Aksoy, Umit/0000-0002-6014-1898 | |
| dc.authorscopusid | 49864511100 | |
| dc.authorscopusid | 24402879000 | |
| dc.authorscopusid | 16678995500 | |
| dc.authorscopusid | 6507345917 | |
| dc.authorwosid | ERHAN, INCI M./HLH-1268-2023 | |
| dc.authorwosid | KARAPINAR, ERDAL/H-3177-2011 | |
| dc.authorwosid | Sevinik-Adiguzel, Rezan/KMA-1274-2024 | |
| dc.contributor.author | Sevinik Adiguzel, Rezan | |
| dc.contributor.author | Aksoy, Umit | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Erhan, Inci M. | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:38:10Z | |
| dc.date.available | 2024-07-05T15:38:10Z | |
| dc.date.issued | 2020 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Sevinik Adiguzel, Rezan; Aksoy, Umit; Erhan, Inci M.] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey; [Karapinar, Erdal] Cankaya Univ, Dept Math, Ankara, Turkey; [Karapinar, Erdal] China Med Univ, Dept Med Res, Taichung, Taiwan | en_US |
| dc.description | ERHAN, INCI M./0000-0001-6042-3695; KARAPINAR, ERDAL/0000-0002-6798-3254; Aksoy, Umit/0000-0002-6014-1898 | en_US |
| dc.description.abstract | The problem of the existence and uniqueness of solutions of boundary value problems (BVPs) for a nonlinear fractional differential equation of order 2<alpha <= 3 is studied. The BVP is transformed into an integral equation and discussed by means of a fixed point problem for an integral operator. Conditions for the existence and uniqueness of a fixed point for the integral operator are derived viab-comparison functions on completeb-metric spaces. In addition, estimates for the convergence of the Picard iteration sequence are given. An estimate for the Green's function related with the problem is provided and employed in the proof of the existence and uniqueness theorem for the solution of the given problem. Illustrative examples are presented to support the theoretical results. | en_US |
| dc.identifier.citationcount | 154 | |
| dc.identifier.doi | 10.1002/mma.6652 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85087142424 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.6652 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3059 | |
| dc.identifier.wos | WOS:000542025200001 | |
| dc.identifier.wosquality | Q1 | |
| dc.institutionauthor | Sevinik Adıgüzel, Rezan | |
| dc.institutionauthor | Aksoy, Ümit | |
| dc.institutionauthor | Erhan, İnci | |
| dc.institutionauthor | Karapınar, Erdal | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | 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 | 140 | |
| dc.subject | b-metric | en_US |
| dc.subject | comparison function | en_US |
| dc.subject | fixed point | en_US |
| dc.subject | fractional differential equation | en_US |
| dc.title | On the Solution of a Boundary Value Problem Associated With a Fractional Differential Equation | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 183 | |
| dspace.entity.type | Publication | |
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