On Quantum Hybrid Fractional Conformable Differential and Integral Operators in a Complex Domain
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ibrahim, Rabha W. | |
| dc.date.accessioned | 2022-11-10T12:06:52Z | |
| dc.date.accessioned | 2025-09-18T15:44:49Z | |
| dc.date.available | 2022-11-10T12:06:52Z | |
| dc.date.available | 2025-09-18T15:44:49Z | |
| dc.date.issued | 2021 | |
| dc.description | Ibrahim, Rabha W./0000-0001-9341-025X | en_US |
| dc.description.abstract | Newly, the hybrid fractional differential operator (HFDO) is presented and studied in Baleanu et al. (Mathematics 8.3:360, 2020). This work deals with the extension of HFDO to the complex domain and its generalization by using the quantum calculus. The outcome of the above conclusion is a q-HFDO, which will employ to introduce some classes of normalized analytic functions containing the well-known starlike and convex classes. Moreover, we utilize the quantum calculus to formulate the q-integral operator corresponding to q-HFDO. As a result, the upper solution is exemplified by utilizing the notion of subordination inequality. | en_US |
| dc.identifier.citation | Ibrahim, Rabha W.; Baleanu, Dumitru (2021). "On quantum hybrid fractional conformable differential and integral operators in a complex domain", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 115, No. 1. | en_US |
| dc.identifier.doi | 10.1007/s13398-020-00982-5 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.issn | 1579-1505 | |
| dc.identifier.scopus | 2-s2.0-85098483702 | |
| dc.identifier.uri | https://doi.org/10.1007/s13398-020-00982-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14421 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-verlag Italia Srl | en_US |
| dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Conformable Calculus | en_US |
| dc.subject | Differential Operator | en_US |
| dc.subject | Univalent Function | en_US |
| dc.subject | Analytic Function | en_US |
| dc.subject | Subordination And Superordination | en_US |
| dc.subject | Unit Disk | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Quantum Calculus | en_US |
| dc.subject | 30C55 | en_US |
| dc.subject | 30C45 | en_US |
| dc.title | On Quantum Hybrid Fractional Conformable Differential and Integral Operators in a Complex Domain | en_US |
| dc.title | On quantum hybrid fractional conformable differential and integral operators in a complex domain | 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 | Baleanu, Dumitru/B-9936-2012 | |
| 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.] Ton Duc Thang Univ, Informetr Res Grp, Ho Chi Minh City, Vietnam; [Ibrahim, Rabha W.] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest 76900, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung 40402, Taiwan | 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.volume | 115 | en_US |
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| gdc.oaire.keywords | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) | |
| gdc.oaire.keywords | convex functions | |
| gdc.oaire.keywords | General theory of univalent and multivalent functions of one complex variable | |
| gdc.oaire.keywords | star-like functions | |
| gdc.oaire.keywords | fractional calculus | |
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