On the Solution of a Boundary Value Problem Associated With a Fractional Differential Equation
| dc.contributor.author | Sevinik Adiguzel, Rezan | |
| dc.contributor.author | Aksoy, Umit | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Erhan, Inci M. | |
| dc.contributor.author | Adiguzel, Rezan Sevinik | |
| dc.date.accessioned | 2024-07-05T15:38:10Z | |
| dc.date.available | 2024-07-05T15:38:10Z | |
| dc.date.issued | 2020 | |
| 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.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.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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 |
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| gdc.author.id | ERHAN, INCI M./0000-0001-6042-3695 | |
| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| gdc.author.id | Aksoy, Umit/0000-0002-6014-1898 | |
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| gdc.author.wosid | ERHAN, INCI M./HLH-1268-2023 | |
| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | Sevinik-Adiguzel, Rezan/KMA-1274-2024 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 10939 | |
| gdc.description.issue | 13 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 47 | |
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| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | fixed point | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | comparison function | |
| gdc.oaire.keywords | fractional differential equation | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
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| gdc.virtual.author | Sevinik Adıgüzel, Rezan | |
| gdc.virtual.author | Aksoy, Ümit | |
| gdc.virtual.author | Erhan, İnci | |
| gdc.virtual.author | Karapınar, Erdal | |
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