Numerical Solution of a New Mathematical Model for Intravenous Drug Administration
| dc.contributor.author | Shiri, Babak | |
| dc.contributor.author | Perfilieva, Irina | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alijani, Zahra | |
| dc.date.accessioned | 2024-01-17T13:27:35Z | |
| dc.date.accessioned | 2025-09-18T14:10:15Z | |
| dc.date.available | 2024-01-17T13:27:35Z | |
| dc.date.available | 2025-09-18T14:10:15Z | |
| dc.date.issued | 2024 | |
| dc.description | Perfilieva, Irina/0000-0003-1531-1111; Alijani, Zahra/0000-0002-1448-9068 | en_US |
| dc.description.abstract | We develop and analyze a new mathematical model for intravenous drug administration and the associated diffusion process. We use interval analysis to obtain a system of weakly singular Volterra integral equations over ordinary functions. We then use the operational method based on Chebyshev polynomials for obtaining an approximate solution of the numerical form. We show that for a certain class of fuzzy number valued functions, their generalized Hukuhara derivatives can be reduced to the derivatives of ordinary real-valued functions. By using our approach, we are able to estimate numerical solutions very accurately. | en_US |
| dc.identifier.citation | Alijani, Zahra;...et.al. (2023). "Numerical solution of a new mathematical model for intravenous drug administration", Evolutionary Intelligence. | en_US |
| dc.identifier.doi | 10.1007/s12065-023-00840-4 | |
| dc.identifier.issn | 1864-5909 | |
| dc.identifier.issn | 1864-5917 | |
| dc.identifier.scopus | 2-s2.0-85151503822 | |
| dc.identifier.uri | https://doi.org/10.1007/s12065-023-00840-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13636 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Evolutionary Intelligence | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Differential Equation | en_US |
| dc.subject | Chebyshev Polynomials | en_US |
| dc.subject | Fractional-Fuzzy Differential Equations | en_US |
| dc.subject | Dynamic Of The Bromsulphthalein | en_US |
| dc.subject | Concentration Of Drug In The Arterial Tissue | en_US |
| dc.title | Numerical Solution of a New Mathematical Model for Intravenous Drug Administration | en_US |
| dc.title | Numerical solution of a new mathematical model for intravenous drug administration | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Perfilieva, Irina/0000-0003-1531-1111 | |
| gdc.author.id | Alijani, Zahra/0000-0002-1448-9068 | |
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| gdc.author.wosid | Shiri, Babak/T-7172-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Perfilieva, Irina/Afk-3589-2022 | |
| gdc.author.wosid | Alijani, Zahra/Aal-7311-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Alijani, Zahra; Perfilieva, Irina] Univ Ostrava, Inst Res & Applicat fuzzy modeling, Ostrava, Czech Republic; [Shiri, Babak] Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Balgat, Ankara, Turkiye | en_US |
| gdc.description.endpage | 575 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 559 | en_US |
| gdc.description.volume | 17 | en_US |
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| gdc.oaire.keywords | Statistics and Probability | |
| gdc.oaire.keywords | Artificial intelligence | |
| gdc.oaire.keywords | Class (philosophy) | |
| gdc.oaire.keywords | Interval (graph theory) | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Fuzzy Differential Equations and Uncertainty Modeling | |
| gdc.oaire.keywords | Stability of Functional Equations in Mathematical Analysis | |
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| gdc.oaire.keywords | Chebyshev filter | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
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