Novel analytical and approximate-analytical methods for solving the nonlinear fractional smoking mathematical model
Yazarlar (3)
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
Mohammed K. A. Kaabar
Washington State University Pullman, Amerika Birleşik Devletleri
Washington State University Pullman, Amerika Birleşik Devletleri
Dr. Öğr. Üyesi Ercan Çelik Kyrgyz-Turkish Manas University, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
|
||
| Dergi Adı | Sigma Journal of Engineering and Natural Sciences | ||
| Dergi ISSN | 1304-7191 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | Türkçe | Basım Tarihi | 04-2023 |
| Cilt / Sayı / Sayfa | 41 / 2 / 331–343 | DOI | 10.14744/sigma.2021.00073 |
| Makale Linki | http://dx.doi.org/10.14744/sigma.2021.00073 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
|
||
| Özet |
| 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. |
| Anahtar Kelimeler |
| Fractional Calculus | Fractional Differential Transform Method (FDTM) | Laplace Adomian Decomposition Method (LADM) | Mathematical Modelling | Smoking Mathematical Model |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 9 |
| Scopus | 9 |
| Google Scholar | 13 |