Convoluted Fractional Differentials of Various Forms Utilizing the Generalized Raina's Function Description With Applications
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ibrahim, Rabha W. | |
| dc.date.accessioned | 2024-03-04T11:12:49Z | |
| dc.date.accessioned | 2025-09-18T15:43:11Z | |
| dc.date.available | 2024-03-04T11:12:49Z | |
| dc.date.available | 2025-09-18T15:43:11Z | |
| dc.date.issued | 2022 | |
| dc.description | Ibrahim, Rabha W./0000-0001-9341-025X | en_US |
| dc.description.abstract | A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized. Our method is based on the concepts of subordination and superordination. As an application, a class of differential equations involving the suggested operator is studied. As seen, the solution is provided by a certain hypergeometric function. We also create a fractional coefficient differential operator. Its geometric and analytic features are discussed. Finally, we use the Jackson's calculus to expand the Raina's differential operator and investigate its properties in relation to geometric function theory. | en_US |
| dc.identifier.citation | Ibrahim, Rabha W.; Baleanu, D. (2022). "Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications", Journal of Taibah University for Science, Vol.16, No.1, pp.432-441. | en_US |
| dc.identifier.doi | 10.1080/16583655.2022.2070836 | |
| dc.identifier.issn | 1658-3655 | |
| dc.identifier.scopus | 2-s2.0-85136067164 | |
| dc.identifier.uri | https://doi.org/10.1080/16583655.2022.2070836 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13879 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Journal of Taibah University for Science | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Quantum Calculus | en_US |
| dc.subject | Analytic Function | en_US |
| dc.subject | Subordination And Superordination | en_US |
| dc.subject | Univalent Function | en_US |
| dc.subject | Open Unit Disk | en_US |
| dc.title | Convoluted Fractional Differentials of Various Forms Utilizing the Generalized Raina's Function Description With Applications | en_US |
| dc.title | Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ibrahim, Rabha W./0000-0001-9341-025X | |
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| gdc.author.wosid | Ibrahim, Rabha W./D-3312-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ibrahim, Rabha W.] IEEE, Piscataway, NJ 08854 USA; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 441 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 432 | en_US |
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