Smoking is globally a challenging issue that causes many fatal health problems. In this paper, a nonlinear fractional smoking mathematical model is proposed in the context of a modi-fied form of the Caputo fractional-order derivative. The analytical and approximate-analytical solutions are obtained for the proposed mathematical model via the fractional differential transform method (FDTM) and Laplace Adomian decomposition method (LADM). The ob-tained solution is provided as a rapidly convergent series. Simulation results are provided in this paper to compare the obtained solutions by FDTM, LADM, Runge Kutta (RK) method, and reduced differential transforms method (RDTM) with the exact solution of the proposed problem. By comparing both FDTM and LADM solutions, the FDTM solution is closer to the exact solution than the LADM solution. All obtained solutions have been analyzed and com-pared graphically to validate the effiency and applicability of all results.
Keywords: mathematical modelling; fractional calculus; fractional differential transform method (FDTM); laplace adomian decomposition method (LADM); smoking mathematical model
Yayın Adı (dc.title) | Novel analytical and approximate-analytical methods for solving the nonlinear fractional smoking mathematical model |
Yazar/lar (dc.contributor.yazarlar) | Hatıra GÜNERHAN, Mohammed K.A. KAABAR, Ercan ÇELİK |
Yayın Türü (dc.type) | Makale |
Dil (dc.language) | İngilizce |
Yayımlanma Yılı (dc.date.issued) | 2023 |
Ulusal/Uluslararası (dc.identifier.ulusaluluslararasi) | Uluslararası |
Kaynak (dc.relation.journal) | Sigma Journal of Engineering and Natural Sciences |
Süreli Sayı (dc.identifier.issue) | 2 |
Cilt/Sayı (dc.identifier.volume) | 41 |
Sayfa (dc.identifier.startpage) | 331-343 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 1304-7205; Online ISSN: 1304-7191 |
Yayıncı (dc.publisher) | Yıldız Technical University |
Veri Tabanları (dc.contributor.veritaban) | Web of Science Core Collection |
Veri Tabanları (dc.contributor.veritaban) | Kaynak web sitesi |
Veri Tabanları (dc.contributor.veritaban) | Scopus |
İndex Türü (dc.identifier.index) | ESCI |
İndex Türü (dc.identifier.index) | Scopus |
Etki Faktörü (dc.identifier.etkifaktoru) | 0,6 / 2022-WOS / Son 5 yıl: 0,6 |
Özet (dc.description.abstract) | Smoking is globally a challenging issue that causes many fatal health problems. In this paper, a nonlinear fractional smoking mathematical model is proposed in the context of a modi-fied form of the Caputo fractional-order derivative. The analytical and approximate-analytical solutions are obtained for the proposed mathematical model via the fractional differential transform method (FDTM) and Laplace Adomian decomposition method (LADM). The ob-tained solution is provided as a rapidly convergent series. Simulation results are provided in this paper to compare the obtained solutions by FDTM, LADM, Runge Kutta (RK) method, and reduced differential transforms method (RDTM) with the exact solution of the proposed problem. By comparing both FDTM and LADM solutions, the FDTM solution is closer to the exact solution than the LADM solution. All obtained solutions have been analyzed and com-pared graphically to validate the effiency and applicability of all results. |
Özet (dc.description.abstract) | Keywords: mathematical modelling; fractional calculus; fractional differential transform method (FDTM); laplace adomian decomposition method (LADM); smoking mathematical model |
URL (dc.rights) | https://sigma.yildiz.edu.tr/article/1338 |
DOI (dc.identifier.doi) | 10.14744/sigma.2021.00073 |
Fakültesi / Enstitütü (dc.identifier.fakulte) | Fen Fakültesi |
Bölümü (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Kurumdaki Yazar/lar (dc.contributor.author) | Ercan ÇELİK |
Kayıt No (dc.identifier.kayitno) | BLC4064A60 |
Kayıt Giriş Tarihi (dc.date.available) | 2023-06-02 |
Not (Yayımlanma Yılı) (dc.identifier.notyayinyili) | April 2023 |
Wos No (dc.identifier.wos) | WOS:000983868500004 |
Konu Başlıkları (dc.subject) | mathematical modelling |
Konu Başlıkları (dc.subject) | fractional calculus |
Konu Başlıkları (dc.subject) | fractional differential transform method (FDTM) |
Konu Başlıkları (dc.subject) | laplace adomian decomposition method (LADM) |
Konu Başlıkları (dc.subject) | smoking mathematical model |