Numerical solution of fractional order logistic equations via conformable fractional differential transform method
Yazarlar (4)
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
Doç. Dr. Muhammed Yiğider Erzurum Technical University, Türkiye
Jalil Manafian
University Of Tabriz, İran
University Of Tabriz, İran
Prof. Dr. Onur Alp İlhan Erciyes Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Journal of Interdisciplinary Mathematics | ||
| Dergi ISSN | 0972-0502 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | Türkçe | Basım Tarihi | 01-2021 |
| Cilt / Sayı / Sayfa | 24 / 5 / 1207–1220 | DOI | 10.1080/09720502.2021.1918319 |
| Makale Linki | http://dx.doi.org/10.1080/09720502.2021.1918319 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this study, a nonlinear fractional logistic equations is proposed in the context of a modified form of the conformable fractional-order derivative. The analytical and approximate-analytical solutions are obtained for the proposed mathematical model via the method of conformable fractional differential transform method (CFDTM) and all obtained results have been analyzed and compared with homotopy perturbation method (HPM). With plotting the figures, we compared the CFDTM, HPM, and exact solution together and conclude that the CFDTM solution is closer than the exact solution in comparison with the HPM. The methods are illustrated by two examples of FOLE and solution is obtained. All obtained solutions have been analyzed and compared graphically to validate the effiency and applicability of all results. |
| Anahtar Kelimeler |
| 35A20 | 35A24 | 35A25 | 35B10 | 70K50 | Approximate solution | Caputo fractional derivative | Conformable fractional differential transform method | Fast convergent series | Fractional order logistic equations |
| Atıf Sayıları | |
| Web of Science | 15 |
| Scopus | 12 |
| Google Scholar | 16 |