On some fractional operators generated from Abel’s formula
| dc.authorscopusid | 36661368600 | |
| dc.contributor.author | Ugurlu, Ekin | |
| dc.contributor.authorID | 238990 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2024-04-30T12:03:08Z | |
| dc.date.available | 2024-04-30T12:03:08Z | |
| dc.date.issued | 2022 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Ugurlu, Ekin] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey | en_US |
| dc.description.abstract | This work aims to share some fractional integrals and derivatives containing three real parameters. The main tool to introduce such operators is the corresponding Abel's equation. Solvability conditions for the Abel's equations are shared. Semigroup property for fractional integrals are introduced. Integration by parts rule is given. Moreover, mean value theorems and related results are shared. At the end of the paper, some directions for some fractional operators are given. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citation | Uğurlu, Ekin. (2022). "On some fractional operators generated from Abel’s formula", Turkish Journal of Mathematics, Vol.46, pp.1-23. | en_US |
| dc.identifier.doi | 10.3906/mat-2010-53 | |
| dc.identifier.endpage | 23 | en_US |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85123575371 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.trdizinid | 534118 | |
| dc.identifier.uri | https://doi.org/10.3906/mat-2010-53 | |
| dc.identifier.volume | 46 | en_US |
| dc.identifier.wos | WOS:000737001800001 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Ugurlu, Ekin | |
| dc.institutionauthor | Uğurlu, Ekin | |
| dc.language.iso | en | en_US |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | 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 | 3 | |
| dc.subject | Fractional Integrals | en_US |
| dc.subject | Fractional Derivatives | en_US |
| dc.subject | Mean Value Theorems | en_US |
| dc.title | On some fractional operators generated from Abel’s formula | tr_TR |
| dc.title | On Some Fractional Operators Generated From Abel's Formula | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 3 | |
| dspace.entity.type | Publication | |
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