Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set
| dc.authorid | Ibrahim, Rabha W./0000-0001-9341-025X | |
| dc.authorscopusid | 16319225300 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Ibrahim, Rabha W./D-3312-2017 | |
| dc.contributor.author | Ibrahim, Rabha W. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2022-03-22T10:41:12Z | |
| dc.date.available | 2022-03-22T10:41:12Z | |
| dc.date.issued | 2021 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Ibrahim, Rabha W.] Inst Elect & Elect Engineers IEEE 94086547, Kuala Lumpur 59200, Malaysia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung 40402, Taiwan | en_US |
| dc.description | Ibrahim, Rabha W./0000-0001-9341-025X | en_US |
| dc.description.abstract | We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The analytic solutions of the LDEs are presented by utilizing a special kind of fractal function in a complex domain, linked with the subordination theory. The fractal functions are suggested for the multi-parametric coefficients type motorboat fractal set. We obtain different formulas of fractal analytic solutions of LDEs. Moreover, we determine the maximum value of the fractal coefficients to obtain the optimal solution. Through the subordination inequality, we determined the upper boundary determination of a class of fractal functions holding multibrot function v(z)=1+3 kappa z+z(3). | en_US |
| dc.description.publishedMonth | 6 | |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citation | Ibrahim, Rabha W.; Baleanu, Dumitru (2021). "Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set", Fractal and Fractional, Vol. 5, No. 2. | en_US |
| dc.identifier.doi | 10.3390/fractalfract5020050 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85107851422 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract5020050 | |
| dc.identifier.volume | 5 | en_US |
| dc.identifier.wos | WOS:000665178500001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 13 | |
| 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.subject | Algebraic Differential Equations | en_US |
| dc.subject | Complex Fractal Domain | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Differential Operator | en_US |
| dc.title | Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set | tr_TR |
| dc.title | Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 11 | |
| dspace.entity.type | Publication | |
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