Existence Theory and Numerical Solutions To Smoking Model Under Caputo-Fabrizio Fractional Derivative
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Zaman, Gul | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Khan, Sajjad Ali | |
| dc.date.accessioned | 2020-03-16T13:05:52Z | |
| dc.date.accessioned | 2025-09-18T15:43:58Z | |
| dc.date.available | 2020-03-16T13:05:52Z | |
| dc.date.available | 2025-09-18T15:43:58Z | |
| dc.date.issued | 2019 | |
| dc.description | Jarad, Fahd/0000-0002-3303-0623; Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for the considered model. Furthermore, some results related to uniqueness of the equilibrium solution and its stability are discussed utilizing the techniques of nonlinear functional analysis. The dynamics of iterative solutions for various compartments of the model are plotted with the help of Matlab. Published under license by AIP Publishing. | en_US |
| dc.identifier.citation | Khan, Sajjad Ali...et al. (2019). "Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative", Chaos, Vol. 29, No. 1. | en_US |
| dc.identifier.doi | 10.1063/1.5079644 | |
| dc.identifier.issn | 1054-1500 | |
| dc.identifier.issn | 1089-7682 | |
| dc.identifier.scopus | 2-s2.0-85060548713 | |
| dc.identifier.uri | https://doi.org/10.1063/1.5079644 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14092 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Physics | en_US |
| dc.relation.ispartof | Chaos: An Interdisciplinary Journal of Nonlinear Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Existence Theory and Numerical Solutions To Smoking Model Under Caputo-Fabrizio Fractional Derivative | en_US |
| dc.title | Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Khan, Md. Mostaured/Hii-9959-2022 | |
| gdc.author.wosid | Zaman, Professor Dr. Gul/Abi-7640-2022 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Sajjad Ali; Shah, Kamal; Zaman, Gul] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan; [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey | 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.volume | 29 | en_US |
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| gdc.oaire.keywords | Smokers | |
| gdc.oaire.keywords | Smoking | |
| gdc.oaire.keywords | Humans | |
| gdc.oaire.keywords | Non-Smokers | |
| gdc.oaire.keywords | Ex-Smokers | |
| gdc.oaire.keywords | Models, Biological | |
| gdc.oaire.keywords | Algorithms | |
| gdc.oaire.keywords | Medical applications (general) | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Numerical investigation of stability of solutions to ordinary differential equations | |
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