Nonlocal Cauchy Problem Via a Fractional Operator Involving Power Kernel in Banach Spaces
| dc.contributor.author | Yavuz, Mehmet | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Keten, Aysegul | |
| dc.date.accessioned | 2019-12-27T12:17:00Z | |
| dc.date.accessioned | 2025-09-18T16:08:33Z | |
| dc.date.available | 2019-12-27T12:17:00Z | |
| dc.date.available | 2025-09-18T16:08:33Z | |
| dc.date.issued | 2019 | |
| dc.description | Keten Copur, Aysegul/0000-0002-7973-946X; Yavuz, Mehmet/0000-0002-3966-6518 | en_US |
| dc.description.abstract | We investigated existence and uniqueness conditions of solutions of a nonlinear differential equation containing the Caputo-Fabrizio operator in Banach spaces. The mentioned derivative has been proposed by using the exponential decay law and hence it removed the computational complexities arising from the singular kernel functions inherit in the conventional fractional derivatives. The method used in this study is based on the Banach contraction mapping principle. Moreover, we gave a numerical example which shows the applicability of the obtained results. | en_US |
| dc.identifier.citation | Keten, Aysegul; Yavuz, Mehmet; Baleanu, Dumitru, "Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces", Fractal and Fractional, Vol. 3, No. 2, (June 2019) | en_US |
| dc.identifier.doi | 10.3390/fractalfract3020027 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.scopus | 2-s2.0-85073560905 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract3020027 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15092 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Fractal and Fractional | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Existence-Uniqueness Conditions | en_US |
| dc.subject | Nonlocal Cauchy Problem | en_US |
| dc.subject | Caputo-Fabrizio Fractional Derivative | en_US |
| dc.subject | Banach Space | en_US |
| dc.title | Nonlocal Cauchy Problem Via a Fractional Operator Involving Power Kernel in Banach Spaces | en_US |
| dc.title | Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Keten Copur, Aysegul/0000-0002-7973-946X | |
| gdc.author.id | Yavuz, Mehmet/0000-0002-3966-6518 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Keten Copur, Aysegul/Aac-9778-2022 | |
| gdc.author.wosid | Yavuz, Mehmet/G-9422-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Keten, Aysegul; Yavuz, Mehmet] Necmettin Erbakan Univ, Fac Sci, Dept Math Comp, TR-42090 Konya, Turkey; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, RO-077125 Bucharest, Romania | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 3 | en_US |
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| gdc.oaire.keywords | QA299.6-433 | |
| gdc.oaire.keywords | Banach space | |
| gdc.oaire.keywords | nonlocal Cauchy problem | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | Caputo–Fabrizio fractional derivative | |
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| gdc.oaire.keywords | existence-uniqueness conditions | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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