On Modelling of Epidemic Childhood Diseases With the Caputo-Fabrizio Derivative by Using the Laplace Adomian Decomposition Method
| dc.contributor.author | Aydogn, Seher Melike | |
| dc.contributor.author | Mohammadi, Hakimeh | |
| dc.contributor.author | Rezapour, Shahram | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2022-11-10T10:47:28Z | |
| dc.date.accessioned | 2025-09-18T13:26:33Z | |
| dc.date.available | 2022-11-10T10:47:28Z | |
| dc.date.available | 2025-09-18T13:26:33Z | |
| dc.date.issued | 2020 | |
| dc.description | Mohammadi, Hakimeh/0000-0002-7492-9782 | en_US |
| dc.description.abstract | We present a fractional-order epidemic model for childhood diseases with the new fractional derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian decomposition method (LADM), we solve the problem and the solutions are presented as infinite series converging to the solution. We prove the existence, uniqueness, and stability of the solution by using the fixed point theory. Also, we provide some numerical results to illustrate the effectiveness of the new derivative. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. | en_US |
| dc.description.sponsorship | Istanbul Technical University; Miandoab Branch of Islamic Azad University; Azarbaijan Shahid Madani University | en_US |
| dc.description.sponsorship | The first author was supported by Istanbul Technical University. The third author was supported by Miandoab Branch of Islamic Azad University. Also, the fourth author was supported by Azarbaijan Shahid Madani University. The authors express their gratitude dear unknown referees for their helpful suggestions which improved final version of this paper. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2020). "On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 3029-3039. | en_US |
| dc.identifier.doi | 10.1016/j.aej.2020.05.007 | |
| dc.identifier.issn | 1110-0168 | |
| dc.identifier.issn | 2090-2670 | |
| dc.identifier.scopus | 2-s2.0-85086831990 | |
| dc.identifier.uri | https://doi.org/10.1016/j.aej.2020.05.007 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12650 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Alexandria Engineering Journal | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Infection Diseases Model | en_US |
| dc.subject | Laplace Adomian Decomposition | en_US |
| dc.subject | Numerical Simulation | en_US |
| dc.subject | The Caputo-Fabrizio Fractional Derivative | en_US |
| dc.title | On Modelling of Epidemic Childhood Diseases With the Caputo-Fabrizio Derivative by Using the Laplace Adomian Decomposition Method | en_US |
| dc.title | On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mohammadi, Hakimeh/0000-0002-7492-9782 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Mohammadi, Hakimeh/Aan-4604-2021 | |
| gdc.author.wosid | Rezapour, Shahram/N-4883-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Aydogn, Seher Melike] Istanbul Tech Univ, Dept Math, Istanbul, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Mohammadi, Hakimeh] Islamic Azad Univ, Miandoab Branch, Dept Math, Miandoab, Iran; [Rezapour, Shahram] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam; [Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 3039 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 3029 | en_US |
| gdc.description.volume | 59 | en_US |
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