On the Solution of an Imprecisely Defined Nonlinear Time-Fractional Dynamical Model of Marriage
| dc.contributor.author | Chakraverty, Snehashish | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Jena, Rajarama Mohan | |
| dc.date.accessioned | 2019-12-26T12:21:03Z | |
| dc.date.accessioned | 2025-09-18T12:48:44Z | |
| dc.date.available | 2019-12-26T12:21:03Z | |
| dc.date.available | 2025-09-18T12:48:44Z | |
| dc.date.issued | 2019 | |
| dc.description | Chakraverty, Snehashish/0000-0003-4857-644X; Jena, Rajarama Mohan/0000-0002-6751-8491 | en_US |
| dc.description.abstract | The present paper investigates the numerical solution of an imprecisely defined nonlinear coupled time-fractional dynamical model of marriage (FDMM). Uncertainties are assumed to exist in the dynamical system parameters, as well as in the initial conditions that are formulated by triangular normalized fuzzy sets. The corresponding fractional dynamical system has first been converted to an interval-based fuzzy nonlinear coupled system with the help of a single-parametric gamma-cut form. Further, the double-parametric form (DPF) of fuzzy numbers has been used to handle the uncertainty. The fractional reduced differential transform method (FRDTM) has been applied to this transformed DPF system for obtaining the approximate solution of the FDMM. Validation of this method was ensured by comparing it with other methods taking the gamma-cut as being equal to one. | en_US |
| dc.description.sponsorship | Department of Science and Technology of the Government of India [IF170207] | en_US |
| dc.description.sponsorship | The first-named author acknowledges the Department of Science and Technology of the Government of India for providing INSPIRE Fellowship (IF170207) in order to carry out the present research. | en_US |
| dc.identifier.citation | Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru, "On the Solution of an Imprecisely Defined Nonlinear Time-Fractional Dynamical Model of Marriage", Mathematics, Vol.7, No. 8, (Agust 2019). | en_US |
| dc.identifier.doi | 10.3390/math7080689 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85070468419 | |
| dc.identifier.uri | https://doi.org/10.3390/math7080689 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12153 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Triangular Fuzzy Number | en_US |
| dc.subject | Double-Parametric Form | en_US |
| dc.subject | Frdtm | en_US |
| dc.subject | Fractional Dynamical Model Of Marriage | en_US |
| dc.title | On the Solution of an Imprecisely Defined Nonlinear Time-Fractional Dynamical Model of Marriage | en_US |
| dc.title | On the Solution of an Imprecisely Defined Nonlinear Time-Fractional Dynamical Model of Marriage | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Chakraverty, Snehashish/0000-0003-4857-644X | |
| gdc.author.id | Jena, Rajarama Mohan/0000-0002-6751-8491 | |
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| gdc.author.wosid | Jena, Rajarama/W-7897-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Chakraverty, Snehashish/E-4687-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jena, Rajarama Mohan; Chakraverty, Snehashish] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, India; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | triangular fuzzy number | |
| gdc.oaire.keywords | fractional dynamical model of marriage | |
| gdc.oaire.keywords | FRDTM | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | double-parametric form | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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