New Discretization of Caputo-Fabrizio Derivative
| dc.contributor.author | Yildiz, Burak | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Akman, Tugba | |
| dc.date.accessioned | 2020-03-27T07:42:33Z | |
| dc.date.accessioned | 2025-09-18T15:44:27Z | |
| dc.date.available | 2020-03-27T07:42:33Z | |
| dc.date.available | 2025-09-18T15:44:27Z | |
| dc.date.issued | 2018 | |
| dc.description | Akman, Tugba/0000-0003-1206-2287 | en_US |
| dc.description.abstract | We derive a numerical approximation, namely L1-2 formula, to the Caputo-Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1-2 formulas using Lagrange interpolation, respectively. We compute Caputo-Fabrizio derivatives of some known functions both theoretically and numerically. In addition, we solve non/linear sub-diffusion equations to test theoretical findings. Numerical results confirm the theoretically observed convergence rates. | en_US |
| dc.identifier.citation | Akman, Tugba; Yildiz, Burak; Baleanu, Dumitru, "New discretization of Caputo-Fabrizio derivative", Computational & Applied Mathematics, Vol. 37, No.3, pp. 3307-3333, (2018) | en_US |
| dc.identifier.doi | 10.1007/s40314-017-0514-1 | |
| dc.identifier.issn | 0101-8205 | |
| dc.identifier.issn | 1807-0302 | |
| dc.identifier.scopus | 2-s2.0-85049785995 | |
| dc.identifier.uri | https://doi.org/10.1007/s40314-017-0514-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14295 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Computational and Applied Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo-Fabrizio Derivative | en_US |
| dc.subject | Fractional Differentiation | en_US |
| dc.subject | L1 Formula | en_US |
| dc.subject | L1-2 Formula | en_US |
| dc.subject | Quadratic Interpolation | en_US |
| dc.title | New Discretization of Caputo-Fabrizio Derivative | en_US |
| dc.title | New Discretization of Caputo-Fabrizio Derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Akman, Tugba/0000-0003-1206-2287 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Akman, Tugba/T-9216-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Akman, Tugba] Univ Turkish Aeronaut Assoc, Dept Management, TR-06790 Ankara, Turkey; [Yildiz, Burak] Hurma Mah 252,Sok 2-5, Antalya, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
| gdc.description.endpage | 3333 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 3307 | en_US |
| gdc.description.volume | 37 | en_US |
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| gdc.oaire.keywords | fractional differentiation | |
| gdc.oaire.keywords | quadratic interpolation | |
| gdc.oaire.keywords | Caputo-Fabrizio derivative | |
| gdc.oaire.keywords | \(L1-2\) formula | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | \(L\)1 formula | |
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