A General Fractional Pollution Model for Lakes
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Shiri, Babak | |
| dc.date.accessioned | 2022-02-21T13:11:40Z | |
| dc.date.accessioned | 2025-09-18T13:27:21Z | |
| dc.date.available | 2022-02-21T13:11:40Z | |
| dc.date.available | 2025-09-18T13:27:21Z | |
| dc.date.issued | 2022 | |
| dc.description | Shiri, Babak/0000-0003-2249-282X | en_US |
| dc.description.abstract | A model for the amount of pollution in lakes connected with some rivers is introduced. In this model, it is supposed the density of pollution in a lake has memory. The model leads to a system of fractional differential equations. This system is transformed into a system of Volterra integral equations with memory kernels. The existence and regularity of the solutions are investigated. A high-order numerical method is introduced and analyzed and compared with an explicit method based on the regularity of the solution. Validation examples are supported, and some models are simulated and discussed. | en_US |
| dc.identifier.citation | Shiri, Babak; Baleanu, Dumitru (2021). "A General Fractional Pollution Model for Lakes", Communications on Applied Mathematics and Computation. | en_US |
| dc.identifier.doi | 10.1007/s42967-021-00135-4 | |
| dc.identifier.issn | 2096-6385 | |
| dc.identifier.issn | 2661-8893 | |
| dc.identifier.scopus | 2-s2.0-85131854478 | |
| dc.identifier.uri | https://doi.org/10.1007/s42967-021-00135-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12907 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springernature | en_US |
| dc.relation.ispartof | Communications on Applied Mathematics and Computation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Amount Of Pollution In Lakes | en_US |
| dc.subject | System Of Ordinary Differential Equations | en_US |
| dc.subject | System Of Fractional Differential Equations | en_US |
| dc.subject | Explicit And Implicit Methods | en_US |
| dc.subject | Regularity Of The Solution | en_US |
| dc.title | A General Fractional Pollution Model for Lakes | en_US |
| dc.title | A General Fractional Pollution Model for Lakes | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Shiri, Babak/0000-0003-2249-282X | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Shiri, Babak/T-7172-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Shiri, Babak] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Sichuan, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 1130 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1105 | en_US |
| gdc.description.volume | 4 | en_US |
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| gdc.oaire.keywords | Qualitative investigation and simulation of models involving functional-differential equations | |
| gdc.oaire.keywords | system of fractional differential equations | |
| gdc.oaire.keywords | Ecology | |
| gdc.oaire.keywords | Volterra integral equations | |
| gdc.oaire.keywords | regularity of the solution | |
| gdc.oaire.keywords | amount of pollution in lakes | |
| gdc.oaire.keywords | system of ordinary differential equations | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
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