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Novel analytical and approximate-analytical methods for solving the nonlinear fractional smoking mathematical model      
Yazarlar
Doç. Dr. Hatıra GÜNERHAN Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye
Mohammed K. A. Kaabar
Türkiye
Ercan Çelik
Türkiye
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 modified 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 obtained 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 compared 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
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Sigma Journal of Engineering and Natural Sciences
Dergi ISSN 1304-7191
Dergi Tarandığı Indeksler ESCI, SCOPUS
Makale Dili Türkçe
Basım Tarihi 04-2023
Cilt No 41
Sayı 2
Sayfalar 331 / 343
Doi Numarası 10.14744/sigma.2021.00073
Makale Linki http://dx.doi.org/10.14744/sigma.2021.00073