Analytic Studies of a Class of Langevin Differential Equations Dominated by a Class of Julia Fractal Functions
| dc.contributor.author | Ibrahim, Rabha W. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2025-05-11T16:49:20Z | |
| dc.date.available | 2025-05-11T16:49:20Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | . In this investigation, we study a class of analytic functions of type Carath & eacute;o dory style in the open unit disk connected with some fractal domains. This class of analytic functions is formulated based on a kind of Langevin differential equations (LDEs). We aim to study the analytic solvability of LDEs in the advantage of geometric function theory consuming the geometric properties of the Julia fractal (JF) and other fractal connected with the logarithmic function. The analytic solutions of the LDEs are obtainable by employing the subordination theory. | en_US |
| dc.description.sponsorship | Acknowledgements. The authors would like to thank the reviewers and the editors to their comments that improve our paper. | en_US |
| dc.identifier.doi | 10.46793/KgJMat2404.577I | |
| dc.identifier.issn | 1450-9628 | |
| dc.identifier.issn | 2406-3045 | |
| dc.identifier.scopus | 2-s2.0-85124258565 | |
| dc.identifier.uri | https://doi.org/10.46793/KgJMat2404.577I | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9565 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Kragujevac, Fac Science | en_US |
| dc.relation.ispartof | Kragujevac Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Subordination And Superordination | en_US |
| dc.subject | Analytic Function | en_US |
| dc.subject | Univalent Function | en_US |
| dc.subject | Open Unit Disk | en_US |
| dc.subject | Fractal | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Operator | en_US |
| dc.title | Analytic Studies of a Class of Langevin Differential Equations Dominated by a Class of Julia Fractal Functions | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.author.wosid | Ibrahim, Rabha/D-3312-2017 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ibrahim, Rabha W.] IEEE 94086547, Kuala Lumpur 59200, Malaysia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Balgat, Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, R-76900 Bucharest, Romania; [Baleanu, Dumitru] China Med Univ, Dept Publ Hlth, Taichung 40402, Taiwan | en_US |
| gdc.description.endpage | 590 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 577 | en_US |
| gdc.description.volume | 48 | 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 | fractal | |
| gdc.oaire.keywords | General theory of univalent and multivalent functions of one complex variable | |
| gdc.oaire.keywords | subordination and superordination | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | univalent function | |
| gdc.oaire.keywords | fractional operator | |
| gdc.oaire.keywords | analytic function | |
| gdc.oaire.keywords | open unit disk | |
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