Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ibrahim, Rabha W. | |
| dc.date.accessioned | 2022-03-22T10:41:12Z | |
| dc.date.accessioned | 2025-09-18T12:05:13Z | |
| dc.date.available | 2022-03-22T10:41:12Z | |
| dc.date.available | 2025-09-18T12:05:13Z | |
| dc.date.issued | 2021 | |
| 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.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.scopus | 2-s2.0-85107851422 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract5020050 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10556 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Fractal and Fractional | |
| dc.rights | info:eu-repo/semantics/openAccess | 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.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 | en_US |
| dc.title | Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ibrahim, Rabha W./0000-0001-9341-025X | |
| gdc.author.scopusid | 16319225300 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Ibrahim, Rabha W./D-3312-2017 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 50 | |
| gdc.description.volume | 5 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3164711808 | |
| gdc.identifier.wos | WOS:000665178500001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 10.0 | |
| gdc.oaire.influence | 3.502606E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | QA299.6-433 | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | univalent function | |
| gdc.oaire.keywords | analytic function | |
| gdc.oaire.keywords | fractional differential operator | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | subordination and superordination | |
| gdc.oaire.keywords | complex fractal domain | |
| gdc.oaire.keywords | QC310.15-319 | |
| gdc.oaire.keywords | open unit disk | |
| gdc.oaire.keywords | algebraic differential equations | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.popularity | 1.1310858E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 4.34620334 | |
| gdc.openalex.normalizedpercentile | 0.96 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 12 | |
| gdc.plumx.crossrefcites | 12 | |
| gdc.plumx.scopuscites | 13 | |
| gdc.publishedmonth | 6 | |
| gdc.scopus.citedcount | 13 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 11 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |