On a New Modification of the Erdelyi-Kober Fractional Derivative
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Odibat, Zaid | |
| dc.date.accessioned | 2022-10-06T12:09:29Z | |
| dc.date.accessioned | 2025-09-18T12:04:59Z | |
| dc.date.available | 2022-10-06T12:09:29Z | |
| dc.date.available | 2025-09-18T12:04:59Z | |
| dc.date.issued | 2021 | |
| dc.description | Odibat, Zaid/0000-0002-2414-7969 | en_US |
| dc.description.abstract | In this paper, we introduce a new Caputo-type modification of the Erdelyi-Kober fractional derivative. We pay attention to how to formulate representations of Erdelyi-Kober fractional integral and derivatives operators. Then, some properties of the new modification and relationships with other Erdelyi-Kober fractional derivatives are derived. In addition, a numerical method is presented to deal with fractional differential equations involving the proposed Caputo-type Erdelyi-Kober fractional derivative. We hope the presented method will be widely applied to simulate such fractional models. | en_US |
| dc.identifier.citation | Odibat, Zaid; Baleanu, Dumitru (2021). "On a new modification of the erdélyi–kober fractional derivative", Fractal and Fractional, Vol. 5, No. 3. | en_US |
| dc.identifier.doi | 10.3390/fractalfract5030121 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.scopus | 2-s2.0-85115182246 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract5030121 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10477 | |
| 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 | Fractional Integrals And Derivatives | en_US |
| dc.subject | Riemann-Liouville Fractional Operator | en_US |
| dc.subject | Caputo Fractional Operator | en_US |
| dc.subject | Erdelyi-Kober Fractional Operator | en_US |
| dc.subject | Predictor-Corrector Method | en_US |
| dc.title | On a New Modification of the Erdelyi-Kober Fractional Derivative | en_US |
| dc.title | On a new modification of the erdélyi–kober fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Odibat, Zaid/0000-0002-2414-7969 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Odibat, Zaid/K-7229-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Odibat, Zaid] Al Balqa Appl Univ, Fac Sci, Dept Math, Al Salt 19117, Jordan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Baleanu, Dumitru] Inst Space Sci, R-76900 Bucharest, Romania | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 121 | |
| gdc.description.volume | 5 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | predictor–corrector method | |
| gdc.oaire.keywords | QA299.6-433 | |
| gdc.oaire.keywords | Riemann–Liouville fractional operator | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | Erdélyi–Kober fractional operator | |
| gdc.oaire.keywords | Caputo fractional operator | |
| gdc.oaire.keywords | fractional integrals and derivatives | |
| gdc.oaire.keywords | QC310.15-319 | |
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| gdc.oaire.keywords | Analysis | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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