On the Analysis of Chemical Kinetics System Pertaining To a Fractional Derivative With Mittag-Leffler Type Kernel
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Singh, Jagdev | |
| dc.date.accessioned | 2018-09-27T09:49:01Z | |
| dc.date.accessioned | 2025-09-18T12:09:04Z | |
| dc.date.available | 2018-09-27T09:49:01Z | |
| dc.date.available | 2025-09-18T12:09:04Z | |
| dc.date.issued | 2017 | |
| dc.description | Kumar, Devendra/0000-0003-4249-6326 | en_US |
| dc.description.abstract | The pivotal aim of this paper was to analyze a new fractional model of chemical kinetics system related to a newly discovered Atangana-Baleanu derivative with fractional order having non-singular and non-local kernel. The numerical solution is derived by making use of the iterative scheme. The existence of the solution of chemical kinetics system of arbitrary order is examined by implementing the fixed-point theorem. The uniqueness of the special solution of the studied model is shown. The effect of different variables and order of arbitrary ordered derivative on concentrations is demonstrated in tabular and graphical forms. The numerical results for chemical kinetics system pertaining to the newly derivative with fractional order are compared with the chemical kinetics system involving classical derivative. Published by AIP Publishing. | en_US |
| dc.identifier.citation | Singh, J., Kumar, D., Baleanu, D. (2017). On the analysis of chemical kinetics system pertaining to a fractional derivative with Mittag-Leffler type kernel. Chaos, 27(10). http://dx.doi.org/10.1063/1.4995032 | en_US |
| dc.identifier.doi | 10.1063/1.4995032 | |
| dc.identifier.issn | 1054-1500 | |
| dc.identifier.issn | 1089-7682 | |
| dc.identifier.scopus | 2-s2.0-85031407067 | |
| dc.identifier.uri | https://doi.org/10.1063/1.4995032 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11299 | |
| dc.language.iso | en | en_US |
| dc.publisher | Aip Publishing | en_US |
| dc.relation.ispartof | Chaos: An Interdisciplinary Journal of Nonlinear Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | On the Analysis of Chemical Kinetics System Pertaining To a Fractional Derivative With Mittag-Leffler Type Kernel | en_US |
| dc.title | On the analysis of chemical kinetics system pertaining to a fractional derivative with Mittag-Leffler type kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Kumar, Devendra/0000-0003-4249-6326 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Singh, Jagdev/Aac-1015-2019 | |
| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Singh, Jagdev; Kumar, Devendra] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Eskisehir Yolu 29 Km,Yukariyurtcu Mahallesi Mimar, TR-06790 Etimesgut, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 27 | en_US |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Classical flows, reactions, etc. in chemistry | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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